Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775ca |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
1303458074905078125 = 321 · 58 · 11 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- -2 11- -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2087625,-1159685469] |
[a1,a2,a3,a4,a6] |
j |
3533406602506240/4577301333 |
j-invariant |
L |
2.0097414587216 |
L(r)(E,1)/r! |
Ω |
0.12560884325637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925bc1 71775bm1 |
Quadratic twists by: -3 5 |