Atkin-Lehner |
3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4719l |
Isogeny class |
Conductor |
4719 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-978119574003 = -1 · 33 · 118 · 132 |
Discriminant |
Eigenvalues |
0 3- 0 -1 11- 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8873,322262] |
[a1,a2,a3,a4,a6] |
j |
-360448000/4563 |
j-invariant |
L |
1.7658699168155 |
L(r)(E,1)/r! |
Ω |
0.88293495840773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75504bs1 14157p1 117975f1 4719i1 |
Quadratic twists by: -4 -3 5 -11 |