Atkin-Lehner |
2+ 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
79992c |
Isogeny class |
Conductor |
79992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
929187072 = 28 · 33 · 113 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -1 11- 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-372,2340] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:66:1] |
Generators of the group modulo torsion |
j |
823661568/134431 |
j-invariant |
L |
5.3178729199771 |
L(r)(E,1)/r! |
Ω |
1.5015848611353 |
Real period |
R |
0.14756278128456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79992j1 |
Quadratic twists by: -3 |