Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544q |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
1736046920066256 = 24 · 33 · 77 · 474 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39167,-2196690] |
[a1,a2,a3,a4,a6] |
Generators |
[-57422414:-433085260:493039] |
Generators of the group modulo torsion |
j |
3530104010752/922259709 |
j-invariant |
L |
7.6423260461091 |
L(r)(E,1)/r! |
Ω |
0.34594394982441 |
Real period |
R |
11.045613050014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55272bc1 15792l1 |
Quadratic twists by: -4 -7 |