Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12915s |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
10091740640625 = 38 · 56 · 74 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 2 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165744,-25930125] |
[a1,a2,a3,a4,a6] |
Generators |
[666:12267:1] |
Generators of the group modulo torsion |
j |
690734431140542209/13843265625 |
j-invariant |
L |
5.9607404822385 |
L(r)(E,1)/r! |
Ω |
0.23661403417669 |
Real period |
R |
2.0993191517496 |
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 |
4305h1 64575t1 90405p1 |
Quadratic twists by: -3 5 -7 |