Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600g |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6305251093750000 = -1 · 24 · 510 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -1 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30625,3215625] |
[a1,a2,a3,a4,a6] |
j |
172800/343 |
j-invariant |
L |
0.58496120077482 |
L(r)(E,1)/r! |
Ω |
0.29248060038741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800z1 78400gu1 19600bf1 2800f1 |
Quadratic twists by: -4 8 5 -7 |