Atkin-Lehner |
2- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
37520l |
Isogeny class |
Conductor |
37520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-21011200 = -1 · 28 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 6 -4 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-365,-2575] |
[a1,a2,a3,a4,a6] |
j |
-21064523776/82075 |
j-invariant |
L |
4.3670276384625 |
L(r)(E,1)/r! |
Ω |
0.54587845481413 |
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 |
9380b1 |
Quadratic twists by: -4 |