Atkin-Lehner |
3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925bb |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2404954546904109375 = 34 · 56 · 711 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 2 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-109798613,442790729156] |
[a1,a2,a3,a4,a6] |
Generators |
[5111:120545:1] |
Generators of the group modulo torsion |
j |
79635371136974578297/1308273687 |
j-invariant |
L |
4.334885426597 |
L(r)(E,1)/r! |
Ω |
0.18432423813483 |
Real period |
R |
5.8794294588277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4557n2 16275p2 |
Quadratic twists by: 5 -7 |