Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304y |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-15904263897088 = -1 · 232 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 4 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2207,-188415] |
[a1,a2,a3,a4,a6] |
Generators |
[308094:11637701:216] |
Generators of the group modulo torsion |
j |
4533086375/60669952 |
j-invariant |
L |
6.359135722007 |
L(r)(E,1)/r! |
Ω |
0.34180271723199 |
Real period |
R |
9.3023481110755 |
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 |
10304j1 2576n1 92736dt1 72128cd1 |
Quadratic twists by: -4 8 -3 -7 |