Atkin-Lehner |
2+ 3- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
77688a |
Isogeny class |
Conductor |
77688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-10471099392 = -1 · 210 · 36 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -3 13+ -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2235,40966] |
[a1,a2,a3,a4,a6] |
Generators |
[15:104:1] |
Generators of the group modulo torsion |
j |
-1653974500/14027 |
j-invariant |
L |
5.5196187017307 |
L(r)(E,1)/r! |
Ω |
1.290539883299 |
Real period |
R |
1.069246052154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8632a1 |
Quadratic twists by: -3 |