Atkin-Lehner |
2- 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950cn |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-28669593750000 = -1 · 24 · 3 · 59 · 72 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6937,130617] |
[a1,a2,a3,a4,a6] |
j |
2362734140759/1834854000 |
j-invariant |
L |
3.4096531243186 |
L(r)(E,1)/r! |
Ω |
0.42620664088621 |
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 |
16590f1 |
Quadratic twists by: 5 |