Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550je |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
215834149440000000 = 212 · 32 · 57 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-757688,-252931008] |
[a1,a2,a3,a4,a6] |
j |
26168974809769/117411840 |
j-invariant |
L |
7.7693630708003 |
L(r)(E,1)/r! |
Ω |
0.16186173650328 |
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 |
19110o1 13650bv1 |
Quadratic twists by: 5 -7 |