Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840dc |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
9633792 |
Modular degree for the optimal curve |
Δ |
37877804236800 = 216 · 37 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192656496,-1029320676396] |
[a1,a2,a3,a4,a6] |
Generators |
[521970:-376975872:1] |
Generators of the group modulo torsion |
j |
193069973903416820479677169/9247510800 |
j-invariant |
L |
8.8669679630686 |
L(r)(E,1)/r! |
Ω |
0.040523191339026 |
Real period |
R |
7.8147208232907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230v1 |
Quadratic twists by: -4 |