Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20825a |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
463680 |
Modular degree for the optimal curve |
Δ |
1382932974267578125 = 511 · 78 · 173 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ -6 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4539033,3723226968] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:4062:1] |
Generators of the group modulo torsion |
j |
114817869021184/15353125 |
j-invariant |
L |
2.5226182711976 |
L(r)(E,1)/r! |
Ω |
0.26055114170879 |
Real period |
R |
2.4204636512561 |
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 |
4165c1 20825n1 |
Quadratic twists by: 5 -7 |