Atkin-Lehner |
3- 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775ce |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-46345175996625 = -1 · 319 · 53 · 11 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 2 11- 3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3177,335506] |
[a1,a2,a3,a4,a6] |
Generators |
[54:538:1] |
Generators of the group modulo torsion |
j |
-38923752869/508589037 |
j-invariant |
L |
8.5175153644088 |
L(r)(E,1)/r! |
Ω |
0.54095819644859 |
Real period |
R |
3.9363094139876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925k1 71775cg1 |
Quadratic twists by: -3 5 |