Atkin-Lehner |
3+ 7+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114471d |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
181248 |
Modular degree for the optimal curve |
Δ |
-5758005771 = -1 · 39 · 7 · 232 · 79 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 2 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-87372,-9940462] |
[a1,a2,a3,a4,a6] |
j |
-3747565661847552/292537 |
j-invariant |
L |
2.221501786123 |
L(r)(E,1)/r! |
Ω |
0.1388437988451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471b1 |
Quadratic twists by: -3 |