Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11760bu |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-13442526720000 = -1 · 212 · 37 · 54 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4965,-220275] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1345:1] |
Generators of the group modulo torsion |
j |
-1376628736/1366875 |
j-invariant |
L |
4.3903100617688 |
L(r)(E,1)/r! |
Ω |
0.27339590885372 |
Real period |
R |
4.0146084118232 |
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 |
735f1 47040fs1 35280dv1 58800hz1 |
Quadratic twists by: -4 8 -3 5 |