Atkin-Lehner |
3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775cb |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-1251851101875 = -1 · 39 · 54 · 112 · 292 |
Discriminant |
Eigenvalues |
2 3- 5- -5 11- -1 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2625,-14769] |
[a1,a2,a3,a4,a6] |
j |
4390400000/2747547 |
j-invariant |
L |
3.9702737691264 |
L(r)(E,1)/r! |
Ω |
0.49628421932322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23925bd1 71775bo1 |
Quadratic twists by: -3 5 |