Atkin-Lehner |
2+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120p |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-537920 = -1 · 26 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -2 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] [18:45:8] |
Generators of the group modulo torsion |
j |
-592704/8405 |
j-invariant |
L |
6.0859979823527 |
L(r)(E,1)/r! |
Ω |
2.4758086788527 |
Real period |
R |
4.9163717974955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120o1 6560a2 118080bs1 65600c1 |
Quadratic twists by: -4 8 -3 5 |