Atkin-Lehner |
2- 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
88396d |
Isogeny class |
Conductor |
88396 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-11505040653568 = -1 · 28 · 77 · 113 · 41 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11+ 4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604,163092] |
[a1,a2,a3,a4,a6] |
Generators |
[79:784:1] |
Generators of the group modulo torsion |
j |
-810448/381997 |
j-invariant |
L |
3.3190382774344 |
L(r)(E,1)/r! |
Ω |
0.58083355683163 |
Real period |
R |
2.8571337277568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999595099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12628a1 |
Quadratic twists by: -7 |