Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200dp |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
4408992000000000 = 214 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43875,-1518750] |
[a1,a2,a3,a4,a6] |
j |
59319/28 |
j-invariant |
L |
1.3817448239682 |
L(r)(E,1)/r! |
Ω |
0.34543620599208 |
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 |
3150g1 100800kv1 25200do1 25200dh1 |
Quadratic twists by: -4 8 -3 5 |