Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176cj |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
-43844127951244032 = -1 · 28 · 37 · 238 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 0 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292008,61565020] |
[a1,a2,a3,a4,a6] |
j |
-188416/3 |
j-invariant |
L |
4.3338897942527 |
L(r)(E,1)/r! |
Ω |
0.36115748755409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19044l1 25392bi1 76176cm1 |
Quadratic twists by: -4 -3 -23 |