Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475j |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-20220921875 = -1 · 56 · 76 · 11 |
Discriminant |
Eigenvalues |
2 -1 5+ 7- 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-408,-7407] |
[a1,a2,a3,a4,a6] |
Generators |
[149410:1800789:1000] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
7.6478633463707 |
L(r)(E,1)/r! |
Ω |
0.49317002826969 |
Real period |
R |
7.7537795364446 |
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 |
121275do1 539d1 275b1 |
Quadratic twists by: -3 5 -7 |