Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472m |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
4.4977738861928E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31297395,67391546434] |
[a1,a2,a3,a4,a6] |
Generators |
[-2829:365090:1] |
Generators of the group modulo torsion |
j |
4541724645902232578500/60251814962073 |
j-invariant |
L |
5.9907191614962 |
L(r)(E,1)/r! |
Ω |
0.18426086357783 |
Real period |
R |
8.1280406552074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736s1 19824e1 |
Quadratic twists by: -4 -3 |