Atkin-Lehner |
3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
77319x |
Isogeny class |
Conductor |
77319 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1657344 |
Modular degree for the optimal curve |
Δ |
-3573737134197519267 = -1 · 319 · 112 · 714 |
Discriminant |
Eigenvalues |
2 3- 0 3 11- 2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-404085,-134340935] |
[a1,a2,a3,a4,a6] |
j |
-82723519149568000/40514427486963 |
j-invariant |
L |
5.921370319016 |
L(r)(E,1)/r! |
Ω |
0.092521411310996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25773e1 77319ba1 |
Quadratic twists by: -3 -11 |