Atkin-Lehner |
2- 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506be |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1751243034210318 = -1 · 2 · 32 · 1112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,29945,-262789] |
[a1,a2,a3,a4,a6] |
j |
1676253304439/988531038 |
j-invariant |
L |
2.211369069098 |
L(r)(E,1)/r! |
Ω |
0.27642113363725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67518ba2 2046d2 |
Quadratic twists by: -3 -11 |