Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
3700f |
Isogeny class |
Conductor |
3700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-3700000000 = -1 · 28 · 58 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 2 6 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,7588] |
[a1,a2,a3,a4,a6] |
j |
-393040/37 |
j-invariant |
L |
1.3678728194791 |
L(r)(E,1)/r! |
Ω |
1.3678728194791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
14800bi1 59200bn1 33300z1 3700c1 |
Quadratic twists by: -4 8 -3 5 |