Atkin-Lehner |
2- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304q |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-190260969472 = -1 · 220 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 -4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-524,-21488] |
[a1,a2,a3,a4,a6] |
j |
-60698457/725788 |
j-invariant |
L |
0.85950695486989 |
L(r)(E,1)/r! |
Ω |
0.42975347743494 |
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 |
10304l1 2576j1 92736eq1 72128bc1 |
Quadratic twists by: -4 8 -3 -7 |