Atkin-Lehner |
3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4719m |
Isogeny class |
Conductor |
4719 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
-79227685494243 = -1 · 37 · 118 · 132 |
Discriminant |
Eigenvalues |
2 3- -2 3 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-143304,-20932477] |
[a1,a2,a3,a4,a6] |
j |
-1518309117952/369603 |
j-invariant |
L |
5.152852089341 |
L(r)(E,1)/r! |
Ω |
0.12268695450812 |
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 |
75504bx1 14157v1 117975k1 4719k1 |
Quadratic twists by: -4 -3 5 -11 |