Atkin-Lehner |
2- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
41300f |
Isogeny class |
Conductor |
41300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7614687500000000 = 28 · 513 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72916175,239653585750] |
[a1,a2,a3,a4,a6] |
Generators |
[97054065:-1929250:19683] |
Generators of the group modulo torsion |
j |
10718533176462016713936/1903671875 |
j-invariant |
L |
5.8793376544223 |
L(r)(E,1)/r! |
Ω |
0.24141157783196 |
Real period |
R |
8.1180001213766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8260b2 |
Quadratic twists by: 5 |