Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74958w |
Isogeny class |
Conductor |
74958 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
1063920 |
Modular degree for the optimal curve |
Δ |
68122112942487552 = 211 · 3 · 13 · 318 |
Discriminant |
Eigenvalues |
2- 3- 0 5 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108613,-5677375] |
[a1,a2,a3,a4,a6] |
j |
166140625/79872 |
j-invariant |
L |
9.1035047600996 |
L(r)(E,1)/r! |
Ω |
0.27586377917208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74958q1 |
Quadratic twists by: -31 |