Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
120516n |
Isogeny class |
Conductor |
120516 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-1016337459456 = -1 · 28 · 33 · 116 · 83 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1492,-53836] |
[a1,a2,a3,a4,a6] |
Generators |
[679:17676:1] |
Generators of the group modulo torsion |
j |
-810448/2241 |
j-invariant |
L |
7.0106955693638 |
L(r)(E,1)/r! |
Ω |
0.35624910941591 |
Real period |
R |
6.5597316679499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998220154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
996c1 |
Quadratic twists by: -11 |