Atkin-Lehner |
3+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25389a |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
533169 = 33 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1233,-16360] |
[a1,a2,a3,a4,a6] |
Generators |
[1812:11162:27] |
Generators of the group modulo torsion |
j |
7681522194891/19747 |
j-invariant |
L |
5.369358931556 |
L(r)(E,1)/r! |
Ω |
0.80564245312152 |
Real period |
R |
6.6646921481757 |
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 |
25389b1 |
Quadratic twists by: -3 |