Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400bn |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
111183155200 = 212 · 52 · 13 · 174 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3760,87280] |
[a1,a2,a3,a4,a6] |
Generators |
[1:289:1] |
Generators of the group modulo torsion |
j |
57409966080/1085773 |
j-invariant |
L |
2.5311093949062 |
L(r)(E,1)/r! |
Ω |
1.0551370160941 |
Real period |
R |
1.1994221372675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5525f1 88400bx1 |
Quadratic twists by: -4 5 |