Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
121128o |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1690917778271232 = -1 · 210 · 33 · 78 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 2 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16448,-1798672] |
[a1,a2,a3,a4,a6] |
j |
4084589372/14035707 |
j-invariant |
L |
2.8908354095031 |
L(r)(E,1)/r! |
Ω |
0.24090279873412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17304c2 |
Quadratic twists by: -7 |