Atkin-Lehner |
2- 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774ci |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
41802875959477248 = 210 · 39 · 74 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4368380,3515296191] |
[a1,a2,a3,a4,a6] |
Generators |
[1217:-1203:1] |
Generators of the group modulo torsion |
j |
12646120649395983765625/57342765376512 |
j-invariant |
L |
11.731753244382 |
L(r)(E,1)/r! |
Ω |
0.31930262072725 |
Real period |
R |
0.22963625412343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258c1 |
Quadratic twists by: -3 |