Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490r |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-751505211161100 = -1 · 22 · 36 · 52 · 117 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- -4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,20568,-662724] |
[a1,a2,a3,a4,a6] |
Generators |
[105:-1686:1] [62:894:1] |
Generators of the group modulo torsion |
j |
543138763679/424205100 |
j-invariant |
L |
6.2256968986381 |
L(r)(E,1)/r! |
Ω |
0.28156649990773 |
Real period |
R |
1.3819330647305 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590u2 |
Quadratic twists by: -11 |