Atkin-Lehner |
2+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11960c |
Isogeny class |
Conductor |
11960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
1530880 = 210 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 0 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,92] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
7086244/1495 |
j-invariant |
L |
3.3362367604682 |
L(r)(E,1)/r! |
Ω |
2.5337688961003 |
Real period |
R |
0.65835458900829 |
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 |
23920d1 95680l1 107640y1 59800g1 |
Quadratic twists by: -4 8 -3 5 |