Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dv |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-392000000000 = -1 · 212 · 59 · 72 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3208,-75088] |
[a1,a2,a3,a4,a6] |
j |
-9317 |
j-invariant |
L |
1.2610594974524 |
L(r)(E,1)/r! |
Ω |
0.3152648743631 |
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 |
1225g1 78400kh1 19600dr1 19600dg1 |
Quadratic twists by: -4 8 5 -7 |