Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
115600cl |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2467584 |
Modular degree for the optimal curve |
Δ |
139515148820000000 = 28 · 57 · 178 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 5 -6 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1310133,576476863] |
[a1,a2,a3,a4,a6] |
Generators |
[963:14450:1] |
Generators of the group modulo torsion |
j |
8912896/5 |
j-invariant |
L |
3.1510201257678 |
L(r)(E,1)/r! |
Ω |
0.32326703344156 |
Real period |
R |
0.40614257520634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28900g1 23120bo1 115600bv1 |
Quadratic twists by: -4 5 17 |