Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230n |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-2183196226267869120 = -1 · 26 · 310 · 5 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-122535,73011901] |
[a1,a2,a3,a4,a6] |
j |
-118370771/1270080 |
j-invariant |
L |
0.88634382464106 |
L(r)(E,1)/r! |
Ω |
0.22158595674504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410by1 76230dr1 |
Quadratic twists by: -3 -11 |