Atkin-Lehner |
2+ 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336m |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.2326440738858E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5775159,-5205086710] |
[a1,a2,a3,a4,a6] |
Generators |
[1947451235:56183109136:614125] |
Generators of the group modulo torsion |
j |
114142677369553982032/3339679823541369 |
j-invariant |
L |
7.8542808710839 |
L(r)(E,1)/r! |
Ω |
0.097563082206547 |
Real period |
R |
10.063080096004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819511 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35112n2 |
Quadratic twists by: -3 |