Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37600l |
Isogeny class |
Conductor |
37600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-15040000000 = -1 · 212 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 2 3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200,-6000] |
[a1,a2,a3,a4,a6] |
Generators |
[80:700:1] |
Generators of the group modulo torsion |
j |
-13824/235 |
j-invariant |
L |
6.3199173710747 |
L(r)(E,1)/r! |
Ω |
0.53541345872544 |
Real period |
R |
1.4754759308155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37600a1 75200q1 7520a1 |
Quadratic twists by: -4 8 5 |