Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58650ck |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
690 |
Product of Tamagawa factors cp |
deg |
48355200 |
Modular degree for the optimal curve |
Δ |
1.0947483940258E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2104480013,37158902080017] |
[a1,a2,a3,a4,a6] |
Generators |
[20098:1716607:1] |
Generators of the group modulo torsion |
j |
2638749073395350565296640625/2802555888705994752 |
j-invariant |
L |
10.459853648489 |
L(r)(E,1)/r! |
Ω |
0.073304002971484 |
Real period |
R |
0.20679918655968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58650b1 |
Quadratic twists by: 5 |