Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424a |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.031354301111E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1588684313,-24421147522695] |
[a1,a2,a3,a4,a6] |
Generators |
[41195955360082446584844864428265182692617407735782564090103100505419532844761867807496077179084056700862919792003132148830858995487280:-14908143378408867380437103612044386957927442735120820970489378926469471790616751686699589388977084125206183829681040833888997857809544355:287597058917327505513238628957534496149261133191963550572360113138975410092620234579889633765638291169246131234571141319651722543] |
Generators of the group modulo torsion |
j |
-108262134693620266564752184000/251795483669687373402363 |
j-invariant |
L |
4.7876320059988 |
L(r)(E,1)/r! |
Ω |
0.011955001678341 |
Real period |
R |
200.23552211928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424be2 23712r1 |
Quadratic twists by: -4 8 |