Atkin-Lehner |
2+ 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7854j |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-10677167424 = -1 · 26 · 32 · 73 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11- 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6387,-197042] |
[a1,a2,a3,a4,a6] |
j |
-28808239025774377/10677167424 |
j-invariant |
L |
3.2042402116051 |
L(r)(E,1)/r! |
Ω |
0.26702001763376 |
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 |
62832u2 23562bg2 54978m2 86394cq2 |
Quadratic twists by: -4 -3 -7 -11 |