Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030i |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-592480 = -1 · 25 · 5 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16,-32] |
[a1,a2,a3,a4,a6] |
j |
826551/1120 |
j-invariant |
L |
1.5448843092557 |
L(r)(E,1)/r! |
Ω |
1.5448843092722 |
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 |
37030a1 |
Quadratic twists by: -23 |