Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24480c |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1820283840 = -1 · 26 · 39 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27,2052] |
[a1,a2,a3,a4,a6] |
j |
1728/1445 |
j-invariant |
L |
2.3195163932929 |
L(r)(E,1)/r! |
Ω |
1.1597581966464 |
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 |
24480x1 48960bd2 24480z1 122400cg1 |
Quadratic twists by: -4 8 -3 5 |