Atkin-Lehner |
2- 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
13272f |
Isogeny class |
Conductor |
13272 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
5771467202256 = 24 · 33 · 73 · 794 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5167,-85870] |
[a1,a2,a3,a4,a6] |
j |
953681071618048/360716700141 |
j-invariant |
L |
3.4875003287562 |
L(r)(E,1)/r! |
Ω |
0.58125005479271 |
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 |
26544c1 106176e1 39816c1 92904p1 |
Quadratic twists by: -4 8 -3 -7 |