Atkin-Lehner |
5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69575z |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-79581841796875 = -1 · 59 · 116 · 23 |
Discriminant |
Eigenvalues |
-2 2 5- -1 11- -2 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-55458,-5026682] |
[a1,a2,a3,a4,a6] |
Generators |
[219459:19775924:27] |
Generators of the group modulo torsion |
j |
-5451776/23 |
j-invariant |
L |
3.9841420716922 |
L(r)(E,1)/r! |
Ω |
0.15551354293645 |
Real period |
R |
6.4048152908273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69575bd1 575c1 |
Quadratic twists by: 5 -11 |