Atkin-Lehner |
2+ 3+ 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230h |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-669325109760 = -1 · 29 · 36 · 5 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,518,39316] |
[a1,a2,a3,a4,a6] |
j |
15325064901719/669325109760 |
j-invariant |
L |
1.3764409784856 |
L(r)(E,1)/r! |
Ω |
0.68822048923962 |
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 |
111690bp1 |
Quadratic twists by: -3 |