Atkin-Lehner |
2+ 3- 7- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118y |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-65692021248 = -1 · 29 · 37 · 7 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 1 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7749,264789] |
[a1,a2,a3,a4,a6] |
Generators |
[57:48:1] |
Generators of the group modulo torsion |
j |
-70593496254289/90112512 |
j-invariant |
L |
3.7946599868453 |
L(r)(E,1)/r! |
Ω |
1.0990743963749 |
Real period |
R |
0.86314902785359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20706bb1 |
Quadratic twists by: -3 |