Atkin-Lehner |
2- 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42504o |
Isogeny class |
Conductor |
42504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
391031359488 = 211 · 34 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7232,237228] |
[a1,a2,a3,a4,a6] |
j |
20428151151746/190933281 |
j-invariant |
L |
1.9082706633724 |
L(r)(E,1)/r! |
Ω |
0.95413533170708 |
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 |
85008s3 127512e3 |
Quadratic twists by: -4 -3 |