Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25872bw |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-21306704496 = -1 · 24 · 3 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,670,-2421] |
[a1,a2,a3,a4,a6] |
j |
17643776/11319 |
j-invariant |
L |
1.3863997027221 |
L(r)(E,1)/r! |
Ω |
0.69319985136105 |
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 |
6468l1 103488hq1 77616fe1 3696v1 |
Quadratic twists by: -4 8 -3 -7 |