Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304j |
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] |
j |
4533086375/60669952 |
j-invariant |
L |
1.0325324087665 |
L(r)(E,1)/r! |
Ω |
0.51626620438327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10304y1 322b1 92736cj1 72128f1 |
Quadratic twists by: -4 8 -3 -7 |