Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37600n |
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] |
Generators |
[-33:500:1] |
Generators of the group modulo torsion |
j |
1560896/47 |
j-invariant |
L |
5.2810045090049 |
L(r)(E,1)/r! |
Ω |
0.94837629024239 |
Real period |
R |
1.392117391414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37600q1 75200dd1 37600f1 |
Quadratic twists by: -4 8 5 |