Atkin-Lehner |
2- 3- 5- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
78210bv |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
520 |
Product of Tamagawa factors cp |
deg |
1297920 |
Modular degree for the optimal curve |
Δ |
1195693100236800000 = 226 · 38 · 55 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-435452,-97177921] |
[a1,a2,a3,a4,a6] |
Generators |
[-363:3781:1] |
Generators of the group modulo torsion |
j |
12526107009615863929/1640182579200000 |
j-invariant |
L |
8.9833264520199 |
L(r)(E,1)/r! |
Ω |
0.18745665241913 |
Real period |
R |
0.36863194909675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26070k1 |
Quadratic twists by: -3 |