Atkin-Lehner |
2- 7+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
31108c |
Isogeny class |
Conductor |
31108 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
7511710976 = 28 · 74 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 11- -1 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1149,-14023] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:3:1] |
Generators of the group modulo torsion |
j |
655876022272/29342621 |
j-invariant |
L |
9.6408878002846 |
L(r)(E,1)/r! |
Ω |
0.82222053256767 |
Real period |
R |
2.9313570442524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124432n1 |
Quadratic twists by: -4 |