Atkin-Lehner |
2+ 3+ 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426h |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
61644872772 = 22 · 39 · 72 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9114,-332416] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:42:1] [-434:315:8] |
Generators of the group modulo torsion |
j |
4253890397427/3131884 |
j-invariant |
L |
6.1816457111373 |
L(r)(E,1)/r! |
Ω |
0.48864027368858 |
Real period |
R |
3.1626771492096 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426bd1 |
Quadratic twists by: -3 |