Atkin-Lehner |
3- 5+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129675bg |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2371263136962890625 = 32 · 512 · 72 · 132 · 194 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-516088,-122006833] |
[a1,a2,a3,a4,a6] |
j |
972915274655965369/151760840765625 |
j-invariant |
L |
1.4399489316569 |
L(r)(E,1)/r! |
Ω |
0.17999365171131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25935b2 |
Quadratic twists by: 5 |