Atkin-Lehner |
3+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58719b |
Isogeny class |
Conductor |
58719 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-6517809 = -1 · 32 · 232 · 372 |
Discriminant |
Eigenvalues |
1 3+ -1 2 -6 3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,47,34] |
[a1,a2,a3,a4,a6] |
Generators |
[22:100:1] |
Generators of the group modulo torsion |
j |
20991479/12321 |
j-invariant |
L |
5.2349319763284 |
L(r)(E,1)/r! |
Ω |
1.441034981562 |
Real period |
R |
0.90818960732567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58719a1 |
Quadratic twists by: -23 |