Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775cc |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
272520703125 = 37 · 58 · 11 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5- 0 11- 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1875,-18594] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:76:1] [-25:112:1] |
Generators of the group modulo torsion |
j |
2560000/957 |
j-invariant |
L |
5.57084582068 |
L(r)(E,1)/r! |
Ω |
0.74849578836102 |
Real period |
R |
0.62022680547067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925ba1 71775bj1 |
Quadratic twists by: -3 5 |