Atkin-Lehner |
2+ 3+ 7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
79254g |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-15219628752384 = -1 · 29 · 39 · 74 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -6 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3387,170837] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:295:1] |
Generators of the group modulo torsion |
j |
218275947261/773237248 |
j-invariant |
L |
5.3707759498196 |
L(r)(E,1)/r! |
Ω |
0.49670899984443 |
Real period |
R |
1.3515901547725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79254y1 |
Quadratic twists by: -3 |