Atkin-Lehner |
2- 3+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390t |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-80827275466026000 = -1 · 24 · 39 · 53 · 313 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 3 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-254072,-51091829] |
[a1,a2,a3,a4,a6] |
j |
-92151251127228987/4106451022000 |
j-invariant |
L |
7.6354250733211 |
L(r)(E,1)/r! |
Ω |
0.10604757427852 |
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 |
114390b1 |
Quadratic twists by: -3 |