Atkin-Lehner |
2+ 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
37350n |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
11345062500 = 22 · 37 · 56 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1017,11641] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-247:1] [-31:128:1] |
Generators of the group modulo torsion |
j |
10218313/996 |
j-invariant |
L |
6.1498215245605 |
L(r)(E,1)/r! |
Ω |
1.2399512066003 |
Real period |
R |
0.61996608130879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12450r1 1494e1 |
Quadratic twists by: -3 5 |