Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24480x |
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] |
Generators |
[61:476:1] |
Generators of the group modulo torsion |
j |
1728/1445 |
j-invariant |
L |
5.3916200931074 |
L(r)(E,1)/r! |
Ω |
0.69293541090772 |
Real period |
R |
3.8904203827919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24480c1 48960bb2 24480e1 122400d1 |
Quadratic twists by: -4 8 -3 5 |