Atkin-Lehner |
2- 3+ 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810cj |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
1583366400 = 28 · 33 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-653,-5963] |
[a1,a2,a3,a4,a6] |
Generators |
[43:188:1] |
Generators of the group modulo torsion |
j |
1138874408307/58643200 |
j-invariant |
L |
10.349226927898 |
L(r)(E,1)/r! |
Ω |
0.94756935955529 |
Real period |
R |
0.6826167165495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810p1 |
Quadratic twists by: -3 |