Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dl |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
180150031250000 = 24 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98000,-11790625] |
[a1,a2,a3,a4,a6] |
j |
28311552/49 |
j-invariant |
L |
2.4287381451743 |
L(r)(E,1)/r! |
Ω |
0.26985979390825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4900p1 78400ju1 19600dm1 2800bc1 |
Quadratic twists by: -4 8 5 -7 |