Atkin-Lehner |
5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39325u |
Isogeny class |
Conductor |
39325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
88560 |
Modular degree for the optimal curve |
Δ |
103842578125 = 58 · 112 · 133 |
Discriminant |
Eigenvalues |
2 3 5- 0 11- 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1375,12031] |
[a1,a2,a3,a4,a6] |
Generators |
[-1688800232112:-8632551193381:54526169088] |
Generators of the group modulo torsion |
j |
6082560/2197 |
j-invariant |
L |
19.912083218148 |
L(r)(E,1)/r! |
Ω |
0.97144161684251 |
Real period |
R |
20.497457462105 |
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 |
39325n1 39325x1 |
Quadratic twists by: 5 -11 |