Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510x |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
3969 |
Product of Tamagawa factors cp |
deg |
635040 |
Modular degree for the optimal curve |
Δ |
-5.0636370322326E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8462601,10074373785] |
[a1,a2,a3,a4,a6] |
Generators |
[210:91035:1] |
Generators of the group modulo torsion |
j |
-67024766588959493312172049/5063637032232592343040 |
j-invariant |
L |
6.5822199522778 |
L(r)(E,1)/r! |
Ω |
0.13387898184748 |
Real period |
R |
0.11148627379786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52080y1 19530bg1 32550f1 45570cf1 |
Quadratic twists by: -4 -3 5 -7 |