Atkin-Lehner |
3- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48279r |
Isogeny class |
Conductor |
48279 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
624000 |
Modular degree for the optimal curve |
Δ |
1512163916797149 = 35 · 75 · 117 · 19 |
Discriminant |
Eigenvalues |
2 3- 1 7+ 11- -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-226310,-41471743] |
[a1,a2,a3,a4,a6] |
j |
723570336280576/853577109 |
j-invariant |
L |
4.3780852789635 |
L(r)(E,1)/r! |
Ω |
0.21890426396813 |
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 |
4389k1 |
Quadratic twists by: -11 |