Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jk |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-868218750000 = -1 · 24 · 34 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2333,-63162] |
[a1,a2,a3,a4,a6] |
Generators |
[5546:145761:8] |
Generators of the group modulo torsion |
j |
-131072/81 |
j-invariant |
L |
8.2496147262608 |
L(r)(E,1)/r! |
Ω |
0.33407875521325 |
Real period |
R |
6.1734056697048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700p1 58800gu1 58800gv1 |
Quadratic twists by: -4 5 -7 |