Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414j |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-115787515299047424 = -1 · 211 · 39 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -1 -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-137040,-25447168] |
[a1,a2,a3,a4,a6] |
j |
-599077107/243712 |
j-invariant |
L |
0.48653599011429 |
L(r)(E,1)/r! |
Ω |
0.12163399752763 |
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 |
36414bz1 2142a1 |
Quadratic twists by: -3 17 |