Atkin-Lehner |
2- 3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350ci |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
7522160256000 = 210 · 38 · 53 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5253,63297] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:399:1] |
Generators of the group modulo torsion |
j |
128245185103589/60177282048 |
j-invariant |
L |
15.428632509607 |
L(r)(E,1)/r! |
Ω |
0.66301513734189 |
Real period |
R |
0.29088009583975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999832454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103350j1 |
Quadratic twists by: 5 |