Atkin-Lehner |
3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
24321a |
Isogeny class |
Conductor |
24321 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-483963579 = -1 · 34 · 113 · 672 |
Discriminant |
Eigenvalues |
1 3+ 2 0 11+ 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-79,1060] |
[a1,a2,a3,a4,a6] |
j |
-41781923/363609 |
j-invariant |
L |
2.8386978166676 |
L(r)(E,1)/r! |
Ω |
1.4193489083339 |
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 |
72963h2 24321b2 |
Quadratic twists by: -3 -11 |