Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25800k |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
51600000000 = 210 · 3 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,16688] |
[a1,a2,a3,a4,a6] |
j |
19307236/3225 |
j-invariant |
L |
2.1468839486472 |
L(r)(E,1)/r! |
Ω |
1.0734419743235 |
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 |
51600l1 77400bf1 5160i1 |
Quadratic twists by: -4 -3 5 |