Atkin-Lehner |
3- 7- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
114807r |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2241792 |
Modular degree for the optimal curve |
Δ |
9.6301916750479E+18 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-536922,25238709] |
[a1,a2,a3,a4,a6] |
Generators |
[27:3267:1] |
Generators of the group modulo torsion |
j |
349350428568537254257/196534523980569951 |
j-invariant |
L |
3.6264004225871 |
L(r)(E,1)/r! |
Ω |
0.19841920627499 |
Real period |
R |
0.3263653407963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997725154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114807b1 |
Quadratic twists by: -7 |