Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100928bb |
Isogeny class |
Conductor |
100928 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
105830678528 = 226 · 19 · 83 |
Discriminant |
Eigenvalues |
2- 0 2 0 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2444,43792] |
[a1,a2,a3,a4,a6] |
Generators |
[29216:35748:1331] |
Generators of the group modulo torsion |
j |
6158676537/403712 |
j-invariant |
L |
7.8258002217782 |
L(r)(E,1)/r! |
Ω |
1.0397333573304 |
Real period |
R |
7.5267376644081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100928b1 25232g1 |
Quadratic twists by: -4 8 |