Atkin-Lehner |
2- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614y |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
1298304 |
Modular degree for the optimal curve |
Δ |
-3098756153744556032 = -1 · 223 · 7 · 137 · 292 |
Discriminant |
Eigenvalues |
2- 1 2 7- 3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-809767,-293047223] |
[a1,a2,a3,a4,a6] |
j |
-12165889133809657/641988558848 |
j-invariant |
L |
7.2985412563598 |
L(r)(E,1)/r! |
Ω |
0.079331970144301 |
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 |
5278a1 |
Quadratic twists by: 13 |