Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960dd |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5677056 |
Modular degree for the optimal curve |
Δ |
-1.2852785692488E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1451400,-1587667500] |
[a1,a2,a3,a4,a6] |
Generators |
[1129890:-231234560:27] |
Generators of the group modulo torsion |
j |
557644990391/2119680000 |
j-invariant |
L |
9.7368694960142 |
L(r)(E,1)/r! |
Ω |
0.077656417115732 |
Real period |
R |
7.8364978112337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012245 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15870g1 5520bc1 |
Quadratic twists by: -4 -23 |