Atkin-Lehner |
31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79763d |
Isogeny class |
Conductor |
79763 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
59940 |
Modular degree for the optimal curve |
Δ |
-73662805523 = -1 · 316 · 83 |
Discriminant |
Eigenvalues |
-1 1 -2 -3 -3 6 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,941,6940] |
[a1,a2,a3,a4,a6] |
Generators |
[27:215:1] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
2.7672109390145 |
L(r)(E,1)/r! |
Ω |
0.70303417380443 |
Real period |
R |
3.9360973374843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83a1 |
Quadratic twists by: -31 |