Atkin-Lehner |
2+ 3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576h |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.9142228493306E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1237864,-1089117536] |
[a1,a2,a3,a4,a6] |
Generators |
[52527030681123035399010:-1439706833783921303966557:29403201671083449000] |
Generators of the group modulo torsion |
j |
-204853271858710955428/382248325129943349 |
j-invariant |
L |
5.0873012852074 |
L(r)(E,1)/r! |
Ω |
0.067417726795954 |
Real period |
R |
37.729700610639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999793307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57288h3 |
Quadratic twists by: -4 |