Atkin-Lehner |
3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71775h |
Isogeny class |
Conductor |
71775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
-1480359375 = -1 · 33 · 56 · 112 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,-2228] |
[a1,a2,a3,a4,a6] |
j |
-3176523/3509 |
j-invariant |
L |
1.1754426256396 |
L(r)(E,1)/r! |
Ω |
0.58772131900834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71775c1 2871b1 |
Quadratic twists by: -3 5 |