Atkin-Lehner |
2+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22382d |
Isogeny class |
Conductor |
22382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-2105961817084 = -1 · 22 · 198 · 31 |
Discriminant |
Eigenvalues |
2+ 2 2 0 -4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4339,128505] |
[a1,a2,a3,a4,a6] |
Generators |
[6420:511215:1] |
Generators of the group modulo torsion |
j |
-192100033/44764 |
j-invariant |
L |
6.3107093044136 |
L(r)(E,1)/r! |
Ω |
0.78757011344535 |
Real period |
R |
4.0064428529458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1178d1 |
Quadratic twists by: -19 |