Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150cq |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
22394880 |
Modular degree for the optimal curve |
Δ |
-1.1704646624402E+23 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 1 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9105195,12611582197] |
[a1,a2,a3,a4,a6] |
j |
72661310612775/101875563272 |
j-invariant |
L |
7.6681001146318 |
L(r)(E,1)/r! |
Ω |
0.071000924486776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150bb1 16450o1 |
Quadratic twists by: 5 -7 |