Atkin-Lehner |
2+ 3+ 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774c |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1851199812 = 22 · 33 · 74 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-348,-1316] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:38:1] [-10:38:1] |
Generators of the group modulo torsion |
j |
172901784411/68562956 |
j-invariant |
L |
6.749634253463 |
L(r)(E,1)/r! |
Ω |
1.1435694078614 |
Real period |
R |
1.4755628751424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bj1 |
Quadratic twists by: -3 |