Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850gs |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-440228250000 = -1 · 24 · 33 · 56 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1513,39017] |
[a1,a2,a3,a4,a6] |
Generators |
[92:779:1] |
Generators of the group modulo torsion |
j |
-500313625/574992 |
j-invariant |
L |
12.87852496366 |
L(r)(E,1)/r! |
Ω |
0.85233069767479 |
Real period |
R |
0.20985798438604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3234f1 80850du1 |
Quadratic twists by: 5 -7 |