Atkin-Lehner |
5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13475b |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
4334860126953125 = 510 · 79 · 11 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 11+ -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-40833,-241881] |
[a1,a2,a3,a4,a6] |
j |
6553600/3773 |
j-invariant |
L |
0.73107399255789 |
L(r)(E,1)/r! |
Ω |
0.36553699627894 |
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 |
121275dr1 13475n1 1925b1 |
Quadratic twists by: -3 5 -7 |