Atkin-Lehner |
2- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200du |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
296000000000 = 212 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 2 4 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6500,200000] |
[a1,a2,a3,a4,a6] |
j |
3796416/37 |
j-invariant |
L |
1.9527973382003 |
L(r)(E,1)/r! |
Ω |
0.97639866945206 |
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 |
59200dv1 29600bc1 59200dl1 |
Quadratic twists by: -4 8 5 |