Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30492z |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
108673488 = 24 · 36 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,1573] |
[a1,a2,a3,a4,a6] |
j |
131072/7 |
j-invariant |
L |
1.8527974070096 |
L(r)(E,1)/r! |
Ω |
1.8527974070084 |
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 |
121968dl1 3388e1 30492k1 |
Quadratic twists by: -4 -3 -11 |