Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
94380u |
Isogeny class |
Conductor |
94380 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-56339687462572800 = -1 · 28 · 35 · 52 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60339,-9872865] |
[a1,a2,a3,a4,a6] |
Generators |
[282:5445:1] |
Generators of the group modulo torsion |
j |
442720256/1026675 |
j-invariant |
L |
8.931430829887 |
L(r)(E,1)/r! |
Ω |
0.18276489791868 |
Real period |
R |
0.81447357927762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94380q1 |
Quadratic twists by: -11 |