Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41140i |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
28772493200 = 24 · 52 · 114 · 173 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-766,9] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:17:1] [-26:55:1] |
Generators of the group modulo torsion |
j |
212464384/122825 |
j-invariant |
L |
5.2880262284308 |
L(r)(E,1)/r! |
Ω |
1.0010392192408 |
Real period |
R |
0.88042275247383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41140d1 |
Quadratic twists by: -11 |