Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9310p |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3140479111168000 = -1 · 215 · 53 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -3 7 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80116,-9168587] |
[a1,a2,a3,a4,a6] |
Generators |
[349:2177:1] |
Generators of the group modulo torsion |
j |
-483385461758641/26693632000 |
j-invariant |
L |
8.4298758538789 |
L(r)(E,1)/r! |
Ω |
0.14143228708663 |
Real period |
R |
1.986787229311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480bu1 83790bw1 46550n1 1330j1 |
Quadratic twists by: -4 -3 5 -7 |