Atkin-Lehner |
2+ 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
88298o |
Isogeny class |
Conductor |
88298 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
256256 |
Modular degree for the optimal curve |
Δ |
29838186945868 = 22 · 73 · 177 · 53 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -3 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10679,-338183] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:164:1] [-36:53:1] |
Generators of the group modulo torsion |
j |
392721695385391/86991798676 |
j-invariant |
L |
7.7279227070025 |
L(r)(E,1)/r! |
Ω |
0.47705986629044 |
Real period |
R |
0.5785379552054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88298g1 |
Quadratic twists by: -7 |