Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200dh |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-20672000000000 = -1 · 215 · 59 · 17 · 19 |
Discriminant |
Eigenvalues |
2- -3 5- 0 -1 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,125,-218750] |
[a1,a2,a3,a4,a6] |
Generators |
[375:7250:1] |
Generators of the group modulo torsion |
j |
27/2584 |
j-invariant |
L |
3.6644540928591 |
L(r)(E,1)/r! |
Ω |
0.31398112879227 |
Real period |
R |
2.9177343311275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16150o1 129200cw1 |
Quadratic twists by: -4 5 |