Atkin-Lehner |
2- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18700k |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
54000 |
Modular degree for the optimal curve |
Δ |
-97615168750000 = -1 · 24 · 58 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 0 5- -3 11+ -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8000,-549375] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1181:1] [150:1275:1] |
Generators of the group modulo torsion |
j |
-9059696640/15618427 |
j-invariant |
L |
6.5779744451928 |
L(r)(E,1)/r! |
Ω |
0.23845788117922 |
Real period |
R |
0.61301060451559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800dg1 18700a1 |
Quadratic twists by: -4 5 |