Atkin-Lehner |
5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
25675b |
Isogeny class |
Conductor |
25675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
173184 |
Modular degree for the optimal curve |
Δ |
-10186004638671875 = -1 · 517 · 132 · 79 |
Discriminant |
Eigenvalues |
2 -1 5+ -3 -1 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,30092,-4430657] |
[a1,a2,a3,a4,a6] |
Generators |
[103112:1599043:512] |
Generators of the group modulo torsion |
j |
192860111384576/651904296875 |
j-invariant |
L |
7.213031257794 |
L(r)(E,1)/r! |
Ω |
0.20754765187227 |
Real period |
R |
8.6884038348856 |
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 |
5135a1 |
Quadratic twists by: 5 |