Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12342w |
Isogeny class |
Conductor |
12342 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6.0629339444182E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11091649,-18511396969] |
[a1,a2,a3,a4,a6] |
j |
-85183593440646799657/34223681512621656 |
j-invariant |
L |
1.9469180526597 |
L(r)(E,1)/r! |
Ω |
0.040560792763744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736dl3 37026j3 1122c4 |
Quadratic twists by: -4 -3 -11 |