Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176n |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
1072274868372816 = 24 · 39 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-987114,377481175] |
[a1,a2,a3,a4,a6] |
Generators |
[-346104:13888895:512] |
Generators of the group modulo torsion |
j |
61604313088/621 |
j-invariant |
L |
6.6076317127389 |
L(r)(E,1)/r! |
Ω |
0.44385859552922 |
Real period |
R |
7.4433972665369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38088h1 25392q1 3312g1 |
Quadratic twists by: -4 -3 -23 |