Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576cu |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-1269991881172525056 = -1 · 213 · 3 · 77 · 137 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2880804880,-59514924513388] |
[a1,a2,a3,a4,a6] |
Generators |
[2092351:3025572522:1] |
Generators of the group modulo torsion |
j |
-5486773802537974663600129/2635437714 |
j-invariant |
L |
7.0025905841663 |
L(r)(E,1)/r! |
Ω |
0.010303650001792 |
Real period |
R |
12.136112970626 |
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 |
3822v2 122304fe2 91728fl2 4368n2 |
Quadratic twists by: -4 8 -3 -7 |