Atkin-Lehner |
2- 5+ 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
78850j |
Isogeny class |
Conductor |
78850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-3217252627251200 = -1 · 232 · 52 · 192 · 83 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 -5 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49473,5034377] |
[a1,a2,a3,a4,a6] |
Generators |
[298:3947:1] |
Generators of the group modulo torsion |
j |
-535659721676098105/128690105090048 |
j-invariant |
L |
12.785350056514 |
L(r)(E,1)/r! |
Ω |
0.42713517578074 |
Real period |
R |
0.46769993663362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78850f1 |
Quadratic twists by: 5 |