Atkin-Lehner |
2- 3- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230bb |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-812640952320000 = -1 · 216 · 3 · 54 · 17 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7476,-1394544] |
[a1,a2,a3,a4,a6] |
j |
-46209920460234049/812640952320000 |
j-invariant |
L |
6.9147811110197 |
L(r)(E,1)/r! |
Ω |
0.21608690972017 |
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 |
111690q1 |
Quadratic twists by: -3 |