Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872co |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-348478140631154688 = -1 · 216 · 32 · 79 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76064,29501940] |
[a1,a2,a3,a4,a6] |
j |
-100999381393/723148272 |
j-invariant |
L |
2.084745760113 |
L(r)(E,1)/r! |
Ω |
0.26059322001413 |
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 |
3234r1 103488gh1 77616gh1 3696q1 |
Quadratic twists by: -4 8 -3 -7 |