Atkin-Lehner |
2- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400by |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
173723680000 = 28 · 54 · 13 · 174 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8200,285100] |
[a1,a2,a3,a4,a6] |
Generators |
[45:85:1] [-30:710:1] |
Generators of the group modulo torsion |
j |
381105561600/1085773 |
j-invariant |
L |
6.3123288013837 |
L(r)(E,1)/r! |
Ω |
1.0195524851837 |
Real period |
R |
0.25796975034393 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22100j1 88400bm1 |
Quadratic twists by: -4 5 |