Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576bo |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-13314502656 = -1 · 212 · 36 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,75,-5571] |
[a1,a2,a3,a4,a6] |
Generators |
[138:189:8] |
Generators of the group modulo torsion |
j |
32768/9477 |
j-invariant |
L |
5.1310750325072 |
L(r)(E,1)/r! |
Ω |
0.59126298360919 |
Real period |
R |
2.1695401093715 |
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 |
1911e1 122304ib1 91728eb1 30576cx1 |
Quadratic twists by: -4 8 -3 -7 |