Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610cc |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
4988928 |
Modular degree for the optimal curve |
Δ |
-9.9581896479E+18 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-490695,201178557] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-11574:1] |
Generators of the group modulo torsion |
j |
-2707064176380409/2063100000000 |
j-invariant |
L |
5.580530058663 |
L(r)(E,1)/r! |
Ω |
0.21069711841266 |
Real period |
R |
0.82768841327562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040856 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8970b1 |
Quadratic twists by: 13 |