Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65702l |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
389120 |
Modular degree for the optimal curve |
Δ |
-469833287966224 = -1 · 24 · 7 · 13 · 199 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- -3 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-115889,15210900] |
[a1,a2,a3,a4,a6] |
Generators |
[30:3414:1] |
Generators of the group modulo torsion |
j |
-533411731/1456 |
j-invariant |
L |
2.4976505836558 |
L(r)(E,1)/r! |
Ω |
0.52759709138426 |
Real period |
R |
1.1835028207114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65702v1 |
Quadratic twists by: -19 |