Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71775y |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
4966689814453125 = 313 · 510 · 11 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 11+ 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-63750,5185156] |
[a1,a2,a3,a4,a6] |
Generators |
[7662:85141:27] |
Generators of the group modulo torsion |
j |
4024729600/697653 |
j-invariant |
L |
6.55688032939 |
L(r)(E,1)/r! |
Ω |
0.41195841308465 |
Real period |
R |
7.9581823319836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925g1 71775bt1 |
Quadratic twists by: -3 5 |