Atkin-Lehner |
5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325p |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
-86244656067578125 = -1 · 58 · 13 · 198 |
Discriminant |
Eigenvalues |
-1 0 5- -1 5 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-87430,17303322] |
[a1,a2,a3,a4,a6] |
Generators |
[534:27165:8] |
Generators of the group modulo torsion |
j |
-4021785/4693 |
j-invariant |
L |
3.5630611879572 |
L(r)(E,1)/r! |
Ω |
0.30859287167753 |
Real period |
R |
2.8865387950452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325j1 6175h1 |
Quadratic twists by: 5 -19 |