Atkin-Lehner |
2- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46640x |
Isogeny class |
Conductor |
46640 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-36118016000 = -1 · 212 · 53 · 113 · 53 |
Discriminant |
Eigenvalues |
2- -3 5- -5 11- -3 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-427,9754] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:40:1] [-17:110:1] |
Generators of the group modulo torsion |
j |
-2102071041/8817875 |
j-invariant |
L |
5.1496621360482 |
L(r)(E,1)/r! |
Ω |
1.0091497807097 |
Real period |
R |
0.14174919638311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2915b1 |
Quadratic twists by: -4 |