Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200x |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
341760 |
Modular degree for the optimal curve |
Δ |
-15930000000000 = -1 · 210 · 33 · 510 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76875,-8206250] |
[a1,a2,a3,a4,a6] |
j |
-186086700/59 |
j-invariant |
L |
0.57342264837295 |
L(r)(E,1)/r! |
Ω |
0.14335571683802 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106200d1 106200e1 |
Quadratic twists by: -3 5 |