Atkin-Lehner |
2+ 5- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
77050k |
Isogeny class |
Conductor |
77050 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
7216200 |
Modular degree for the optimal curve |
Δ |
-6.3596293040128E+21 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 3 -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4623424,282870798] |
[a1,a2,a3,a4,a6] |
j |
27980468482598774375/16280651018272768 |
j-invariant |
L |
0.4035753152378 |
L(r)(E,1)/r! |
Ω |
0.080715059311726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77050l1 |
Quadratic twists by: 5 |