Atkin-Lehner |
3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
24321a |
Isogeny class |
Conductor |
24321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
802593 = 32 · 113 · 67 |
Discriminant |
Eigenvalues |
1 3+ 2 0 11+ 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-134,543] |
[a1,a2,a3,a4,a6] |
j |
202262003/603 |
j-invariant |
L |
2.8386978166676 |
L(r)(E,1)/r! |
Ω |
2.8386978166678 |
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 |
72963h1 24321b1 |
Quadratic twists by: -3 -11 |