Atkin-Lehner |
3- 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325bl |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
729600 |
Modular degree for the optimal curve |
Δ |
-178876951171875 = -1 · 311 · 59 · 11 · 47 |
Discriminant |
Eigenvalues |
2 3- 5- 1 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-121125,16238281] |
[a1,a2,a3,a4,a6] |
Generators |
[30500:522843:64] |
Generators of the group modulo torsion |
j |
-138028101632/125631 |
j-invariant |
L |
14.457670101818 |
L(r)(E,1)/r! |
Ω |
0.56653128089506 |
Real period |
R |
6.3799081258141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38775h1 116325bi1 |
Quadratic twists by: -3 5 |