Atkin-Lehner |
5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325q |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-245479526322875 = -1 · 53 · 133 · 197 |
Discriminant |
Eigenvalues |
-1 -3 5- 1 2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18840,1253262] |
[a1,a2,a3,a4,a6] |
Generators |
[24:890:1] |
Generators of the group modulo torsion |
j |
-125751501/41743 |
j-invariant |
L |
2.0534927689227 |
L(r)(E,1)/r! |
Ω |
0.52412335445594 |
Real period |
R |
0.48974457569464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000001023648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325t1 6175j1 |
Quadratic twists by: 5 -19 |