Atkin-Lehner |
2+ 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7176a |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
47959174224 = 24 · 33 · 136 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-939,3744] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
5728790382592/2997448389 |
j-invariant |
L |
3.3804086000373 |
L(r)(E,1)/r! |
Ω |
0.99398556853461 |
Real period |
R |
3.4008628566115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14352l1 57408bo1 21528j1 93288x1 |
Quadratic twists by: -4 8 -3 13 |