Atkin-Lehner |
2- 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6450ba |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1.5432358312368E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 -7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,126662,-597382969] |
[a1,a2,a3,a4,a6] |
Generators |
[3125:172587:1] |
Generators of the group modulo torsion |
j |
14382768678616871/9876709319915520 |
j-invariant |
L |
4.8751788722614 |
L(r)(E,1)/r! |
Ω |
0.085211612941438 |
Real period |
R |
0.26005732317324 |
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 |
51600cr1 19350v1 1290c1 |
Quadratic twists by: -4 -3 5 |