Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622co |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
12178789182 = 2 · 36 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-671,-3895] |
[a1,a2,a3,a4,a6] |
Generators |
[-17038:8385:2744] |
Generators of the group modulo torsion |
j |
389017/142 |
j-invariant |
L |
8.1492365163195 |
L(r)(E,1)/r! |
Ω |
0.96680864003139 |
Real period |
R |
8.4290067119885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6958b1 1278j1 |
Quadratic twists by: -3 -7 |