Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28336i |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
57625421392 = 24 · 76 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10090,-389937] |
[a1,a2,a3,a4,a6] |
Generators |
[727:19404:1] |
Generators of the group modulo torsion |
j |
7100308654848000/3601588837 |
j-invariant |
L |
5.3002154219899 |
L(r)(E,1)/r! |
Ω |
0.47636515348258 |
Real period |
R |
2.4725268855631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14168b1 113344ds1 |
Quadratic twists by: -4 8 |