Atkin-Lehner |
2- 3- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
114798v |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77472 |
Modular degree for the optimal curve |
Δ |
-4392860268 = -1 · 22 · 3 · 194 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -4 -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188,3324] |
[a1,a2,a3,a4,a6] |
j |
-5640625/33708 |
j-invariant |
L |
4.7669302354198 |
L(r)(E,1)/r! |
Ω |
1.1917324650337 |
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 |
114798c1 |
Quadratic twists by: -19 |