Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492bf |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-178201916234496 = -1 · 28 · 36 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23232,1506692] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:1694:1] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
6.3953355722127 |
L(r)(E,1)/r! |
Ω |
0.55290740534767 |
Real period |
R |
0.48194745255999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968dx1 3388f1 2772g1 |
Quadratic twists by: -4 -3 -11 |