Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650cw |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-934327406250 = -1 · 2 · 39 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 -5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51755,4544997] |
[a1,a2,a3,a4,a6] |
Generators |
[1054:-405:8] |
Generators of the group modulo torsion |
j |
-1345938541921/82026 |
j-invariant |
L |
8.4584252313056 |
L(r)(E,1)/r! |
Ω |
0.83692843036142 |
Real period |
R |
2.5266274015175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550a1 3906j1 |
Quadratic twists by: -3 5 |