Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dy |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
40140800000000 = 221 · 58 · 72 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73208,-7642412] |
[a1,a2,a3,a4,a6] |
j |
553463785/512 |
j-invariant |
L |
1.7415453770436 |
L(r)(E,1)/r! |
Ω |
0.2902575628406 |
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 |
2450q2 78400kq2 19600cn2 19600di2 |
Quadratic twists by: -4 8 5 -7 |