Atkin-Lehner |
2+ 3- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314k |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1620619488 = 25 · 39 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 3 -4 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2061,-35451] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:159:8] |
Generators of the group modulo torsion |
j |
1328460616657/2223072 |
j-invariant |
L |
5.3618937426885 |
L(r)(E,1)/r! |
Ω |
0.70862069460528 |
Real period |
R |
1.8916656624242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15438n1 |
Quadratic twists by: -3 |