Atkin-Lehner |
2- 3+ 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
79254y |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-20877405696 = -1 · 29 · 33 · 74 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 6 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,376,-6453] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-183:1] |
Generators of the group modulo torsion |
j |
218275947261/773237248 |
j-invariant |
L |
9.6024758187381 |
L(r)(E,1)/r! |
Ω |
0.6171512139505 |
Real period |
R |
0.21610217512895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79254g1 |
Quadratic twists by: -3 |