Atkin-Lehner |
19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15523b |
Isogeny class |
Conductor |
15523 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
417600 |
Modular degree for the optimal curve |
Δ |
-2496727159249755163 = -1 · 198 · 435 |
Discriminant |
Eigenvalues |
0 2 -2 4 3 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6010409,-5670087671] |
[a1,a2,a3,a4,a6] |
Generators |
[428327861:30588223079:68921] |
Generators of the group modulo torsion |
j |
-510404220761669632/53070047923 |
j-invariant |
L |
5.7146373316734 |
L(r)(E,1)/r! |
Ω |
0.048210411370077 |
Real period |
R |
11.853533644022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
817b1 |
Quadratic twists by: -19 |