Atkin-Lehner |
5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6475b |
Isogeny class |
Conductor |
6475 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-3.8450956942139E+19 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 5 1 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,474117,-270430106] |
[a1,a2,a3,a4,a6] |
j |
754326479523774464/2460861244296875 |
j-invariant |
L |
2.0924409180689 |
L(r)(E,1)/r! |
Ω |
0.10462204590344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600bd1 58275n1 1295a1 45325d1 |
Quadratic twists by: -4 -3 5 -7 |