Atkin-Lehner |
2- 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170v |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
2184 |
Product of Tamagawa factors cp |
deg |
262289664 |
Modular degree for the optimal curve |
Δ |
1.2617093169197E+32 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236632996892,-44302494404955041] |
[a1,a2,a3,a4,a6] |
j |
74448907930072646555610886184913147/6410147421224960000000000000 |
j-invariant |
L |
3.7374519257557 |
L(r)(E,1)/r! |
Ω |
0.0068451500471855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37170a1 |
Quadratic twists by: -3 |