Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20600r |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-10927270000000000 = -1 · 210 · 510 · 1033 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 -2 -1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21875,-5181250] |
[a1,a2,a3,a4,a6] |
Generators |
[454:8858:1] |
Generators of the group modulo torsion |
j |
-115762500/1092727 |
j-invariant |
L |
3.3590283883181 |
L(r)(E,1)/r! |
Ω |
0.17136506139597 |
Real period |
R |
3.2669323615861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200c1 20600g1 |
Quadratic twists by: -4 5 |