Atkin-Lehner |
2+ 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774o |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-1833597891772416 = -1 · 224 · 37 · 7 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15822,-1916460] |
[a1,a2,a3,a4,a6] |
Generators |
[309:5538:1] |
Generators of the group modulo torsion |
j |
600848365809887/2515223445504 |
j-invariant |
L |
3.5055600111833 |
L(r)(E,1)/r! |
Ω |
0.23760691346239 |
Real period |
R |
3.6884027852225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27258bd1 |
Quadratic twists by: -3 |