Atkin-Lehner |
2+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
70688a |
Isogeny class |
Conductor |
70688 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
379008 |
Modular degree for the optimal curve |
Δ |
-12191378770821632 = -1 · 29 · 478 |
Discriminant |
Eigenvalues |
2+ -1 2 2 -4 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34608,-4710488] |
[a1,a2,a3,a4,a6] |
j |
376 |
j-invariant |
L |
0.61921978731392 |
L(r)(E,1)/r! |
Ω |
0.20640659607293 |
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 |
70688f1 70688b1 |
Quadratic twists by: -4 -47 |