Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350bm |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-24202800 = -1 · 24 · 36 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 -2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1685,27037] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-4:1] |
Generators of the group modulo torsion |
j |
-29014442865/1328 |
j-invariant |
L |
9.4210116528949 |
L(r)(E,1)/r! |
Ω |
2.004318490129 |
Real period |
R |
0.29377228779047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150a1 37350bb1 |
Quadratic twists by: -3 5 |