Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11172o |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-5693870888496 = -1 · 24 · 32 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-123937,-16835596] |
[a1,a2,a3,a4,a6] |
j |
-2282579181568/61731 |
j-invariant |
L |
2.2900281585888 |
L(r)(E,1)/r! |
Ω |
0.12722378658827 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44688bo2 33516d2 11172i2 |
Quadratic twists by: -4 -3 -7 |