Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350k |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-24202800 = -1 · 24 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-672,-6544] |
[a1,a2,a3,a4,a6] |
j |
-1843009065/1328 |
j-invariant |
L |
0.93757966420704 |
L(r)(E,1)/r! |
Ω |
0.46878983211814 |
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 |
4150m1 37350by1 |
Quadratic twists by: -3 5 |