Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600cu |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
376012800 = 215 · 33 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,383] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:36:1] [-1:24:1] |
Generators of the group modulo torsion |
j |
975560/459 |
j-invariant |
L |
12.258071648457 |
L(r)(E,1)/r! |
Ω |
1.5128858562713 |
Real period |
R |
0.67520359614099 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600e1 40800b1 81600bz1 |
Quadratic twists by: -4 8 5 |