Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67280r |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
37971859551027200 = 231 · 52 · 294 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 2 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1381763,625100162] |
[a1,a2,a3,a4,a6] |
Generators |
[526:6620:1] |
Generators of the group modulo torsion |
j |
100709966211849/13107200 |
j-invariant |
L |
7.3106873448892 |
L(r)(E,1)/r! |
Ω |
0.35137199983909 |
Real period |
R |
5.2015295386476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8410c1 67280m1 |
Quadratic twists by: -4 29 |