Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20825n |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
11754736328125 = 511 · 72 · 173 |
Discriminant |
Eigenvalues |
0 1 5+ 7- -6 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-92633,-10881356] |
[a1,a2,a3,a4,a6] |
Generators |
[-4794:199:27] |
Generators of the group modulo torsion |
j |
114817869021184/15353125 |
j-invariant |
L |
3.9363201450972 |
L(r)(E,1)/r! |
Ω |
0.27365993301321 |
Real period |
R |
2.3973306954092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4165i1 20825a1 |
Quadratic twists by: 5 -7 |