Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12400w |
Isogeny class |
Conductor |
12400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-9920000000 = -1 · 212 · 57 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 4 6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,-6563] |
[a1,a2,a3,a4,a6] |
Generators |
[332:6025:1] |
Generators of the group modulo torsion |
j |
-262144/155 |
j-invariant |
L |
4.0979004109821 |
L(r)(E,1)/r! |
Ω |
0.48361439062716 |
Real period |
R |
4.2367436643768 |
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 |
775a1 49600ce1 111600et1 2480k1 |
Quadratic twists by: -4 8 -3 5 |