Atkin-Lehner |
19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
37183b |
Isogeny class |
Conductor |
37183 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
11998496666516557 = 1911 · 103 |
Discriminant |
Eigenvalues |
-1 1 -4 -1 -4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-188630,-31105129] |
[a1,a2,a3,a4,a6] |
Generators |
[695:12829:1] |
Generators of the group modulo torsion |
j |
15777367606441/255038197 |
j-invariant |
L |
1.7917533213246 |
L(r)(E,1)/r! |
Ω |
0.22930971069448 |
Real period |
R |
3.9068413542064 |
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 |
1957a1 |
Quadratic twists by: -19 |