Atkin-Lehner |
2- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120bp |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-2689600 = -1 · 26 · 52 · 412 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -6 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,20,78] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] [13:52:1] |
Generators of the group modulo torsion |
j |
13144256/42025 |
j-invariant |
L |
4.8442152857064 |
L(r)(E,1)/r! |
Ω |
1.8069729121965 |
Real period |
R |
2.6808455472736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120bl1 6560k2 118080ei1 65600ca1 |
Quadratic twists by: -4 8 -3 5 |