Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200dt |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
4966055936000000000 = 236 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 2 0 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1371500,608850000] |
[a1,a2,a3,a4,a6] |
j |
557238592989/9699328 |
j-invariant |
L |
0.4865738765637 |
L(r)(E,1)/r! |
Ω |
0.24328694010572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200bs1 14800bd1 59200dk1 |
Quadratic twists by: -4 8 5 |