Atkin-Lehner |
2- 5+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350bq |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-114874375000000 = -1 · 26 · 510 · 72 · 112 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9713,-634583] |
[a1,a2,a3,a4,a6] |
Generators |
[262:-3981:1] |
Generators of the group modulo torsion |
j |
-6485846213449/7351960000 |
j-invariant |
L |
5.9807365408639 |
L(r)(E,1)/r! |
Ω |
0.23029615503328 |
Real period |
R |
1.0820734527277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870a1 |
Quadratic twists by: 5 |