Atkin-Lehner |
3- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56637m |
Isogeny class |
Conductor |
56637 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1666134777711411 = 38 · 710 · 29 · 31 |
Discriminant |
Eigenvalues |
-1 3- -1 7- -6 -4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30083,427488] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:1599:1] |
Generators of the group modulo torsion |
j |
4129962236646121/2285507239659 |
j-invariant |
L |
2.0957128319257 |
L(r)(E,1)/r! |
Ω |
0.41058953245843 |
Real period |
R |
0.25520777640446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18879a1 |
Quadratic twists by: -3 |