Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576v |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
7867154747088 = 24 · 38 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11727,465912] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:918:1] |
Generators of the group modulo torsion |
j |
94757435392/4179357 |
j-invariant |
L |
8.2214695154789 |
L(r)(E,1)/r! |
Ω |
0.73179865018714 |
Real period |
R |
2.8086515031753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15288u1 122304gh1 91728ba1 4368d1 |
Quadratic twists by: -4 8 -3 -7 |