Atkin-Lehner |
2+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64130k |
Isogeny class |
Conductor |
64130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6082560 |
Modular degree for the optimal curve |
Δ |
-9.009125810851E+22 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 11- -1 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7759728,-11800322816] |
[a1,a2,a3,a4,a6] |
j |
29168023997696965919/50854166528000000 |
j-invariant |
L |
1.3523307940011 |
L(r)(E,1)/r! |
Ω |
0.056347116602913 |
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 |
5830h1 |
Quadratic twists by: -11 |