Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110s |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-8427510 = -1 · 2 · 33 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-124,536] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1:1] |
Generators of the group modulo torsion |
j |
-86806489/3510 |
j-invariant |
L |
4.1923800374329 |
L(r)(E,1)/r! |
Ω |
2.3068311026369 |
Real period |
R |
1.8173762407836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57330er1 95550fx1 19110f1 |
Quadratic twists by: -3 5 -7 |