Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176u |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
847872 |
Modular degree for the optimal curve |
Δ |
567233405369219664 = 24 · 39 · 239 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-949026,-353998865] |
[a1,a2,a3,a4,a6] |
Generators |
[116548697297775709109:-30755027964972711260232:1673418579999067] |
Generators of the group modulo torsion |
j |
4499456/27 |
j-invariant |
L |
5.1152831894301 |
L(r)(E,1)/r! |
Ω |
0.15301605088013 |
Real period |
R |
33.429716425031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38088k1 25392l1 76176i1 |
Quadratic twists by: -4 -3 -23 |