Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37600q |
Isogeny class |
Conductor |
37600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
376000000000 = 212 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- -1 1 3 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4833,-127537] |
[a1,a2,a3,a4,a6] |
j |
1560896/47 |
j-invariant |
L |
2.2945518605738 |
L(r)(E,1)/r! |
Ω |
0.57363796515142 |
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 |
37600n1 75200dx1 37600d1 |
Quadratic twists by: -4 8 5 |