Atkin-Lehner |
2- 3+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
74778v |
Isogeny class |
Conductor |
74778 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
751680 |
Modular degree for the optimal curve |
Δ |
1286777411960832 = 215 · 33 · 113 · 1033 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 11+ -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-576958,168431099] |
[a1,a2,a3,a4,a6] |
Generators |
[241:6471:1] |
Generators of the group modulo torsion |
j |
15957994183553022875/966774915072 |
j-invariant |
L |
9.2501126904464 |
L(r)(E,1)/r! |
Ω |
0.45819011615608 |
Real period |
R |
0.22431524873564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74778a1 |
Quadratic twists by: -11 |