Atkin-Lehner |
5+ 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116725c |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
200448 |
Modular degree for the optimal curve |
Δ |
-575527203125 = -1 · 56 · 74 · 232 · 29 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ 3 7 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11301,462873] |
[a1,a2,a3,a4,a6] |
j |
-10214075575873/36833741 |
j-invariant |
L |
3.6944880845715 |
L(r)(E,1)/r! |
Ω |
0.92362218944513 |
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 |
4669b1 |
Quadratic twists by: 5 |