Atkin-Lehner |
2- 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110946t |
Isogeny class |
Conductor |
110946 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
3790734579640369152 = 216 · 33 · 11 · 417 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-569894,136312355] |
[a1,a2,a3,a4,a6] |
j |
4309261738417/798031872 |
j-invariant |
L |
3.7806734893025 |
L(r)(E,1)/r! |
Ω |
0.23629204211796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2706r1 |
Quadratic twists by: 41 |