Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11270u |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
170679488188617800 = 23 · 52 · 78 · 236 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -6 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-139210,2083087] |
[a1,a2,a3,a4,a6] |
Generators |
[727:16541:1] |
Generators of the group modulo torsion |
j |
2535986675931409/1450751712200 |
j-invariant |
L |
9.4727966841276 |
L(r)(E,1)/r! |
Ω |
0.27555919233578 |
Real period |
R |
0.95490641772939 |
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 |
90160cu2 101430be2 56350i2 1610e2 |
Quadratic twists by: -4 -3 5 -7 |