Atkin-Lehner |
3+ 5- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25665d |
Isogeny class |
Conductor |
25665 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
25552715625 = 34 · 55 · 29 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 0 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2065,34430] |
[a1,a2,a3,a4,a6] |
Generators |
[38:93:1] [-346:1869:8] |
Generators of the group modulo torsion |
j |
973861113148561/25552715625 |
j-invariant |
L |
4.6737940114291 |
L(r)(E,1)/r! |
Ω |
1.188631740678 |
Real period |
R |
0.78641581769699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76995j1 128325n1 |
Quadratic twists by: -3 5 |