Atkin-Lehner |
2+ 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65758a |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1572480 |
Modular degree for the optimal curve |
Δ |
-613048090576947872 = -1 · 25 · 78 · 114 · 613 |
Discriminant |
Eigenvalues |
2+ -1 2 7+ 11- 2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1389714,-632277932] |
[a1,a2,a3,a4,a6] |
j |
-51489204035949673/106343322272 |
j-invariant |
L |
1.1122550715041 |
L(r)(E,1)/r! |
Ω |
0.069515941989963 |
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 |
65758j1 |
Quadratic twists by: -7 |