Atkin-Lehner |
2+ 3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
7638b |
Isogeny class |
Conductor |
7638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2285845208609882112 = -1 · 215 · 316 · 192 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,760,72741696] |
[a1,a2,a3,a4,a6] |
j |
48447492896375/2285845208609882112 |
j-invariant |
L |
0.41158987539233 |
L(r)(E,1)/r! |
Ω |
0.20579493769617 |
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 |
61104s2 22914k2 |
Quadratic twists by: -4 -3 |