Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168m |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-5707090847744 = -1 · 211 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ -3 3 -3 11- 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3509,82522] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-484:1] |
Generators of the group modulo torsion |
j |
1317006/1573 |
j-invariant |
L |
3.6119106968074 |
L(r)(E,1)/r! |
Ω |
0.50773793583058 |
Real period |
R |
0.88921627721662 |
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 |
12584l1 100672df1 2288b1 |
Quadratic twists by: -4 8 -11 |