Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11760w |
Isogeny class |
Conductor |
11760 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
426746880 = 210 · 35 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2816,56580] |
[a1,a2,a3,a4,a6] |
Generators |
[16:126:1] |
Generators of the group modulo torsion |
j |
7033666972/1215 |
j-invariant |
L |
5.1799687342692 |
L(r)(E,1)/r! |
Ω |
1.6241619540063 |
Real period |
R |
0.31893178642017 |
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 |
5880c1 47040fg1 35280ch1 58800w1 |
Quadratic twists by: -4 8 -3 5 |