Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080ci |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
127057920 = 214 · 3 · 5 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2647040,1656752820] |
[a1,a2,a3,a4,a6] |
Generators |
[2703:119406:1] |
Generators of the group modulo torsion |
j |
500778229561397314561/31020 |
j-invariant |
L |
10.678934351969 |
L(r)(E,1)/r! |
Ω |
0.70303146216937 |
Real period |
R |
7.5949192428777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999967083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510n3 |
Quadratic twists by: -4 |