Atkin-Lehner |
2- 3- 5- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24180i |
Isogeny class |
Conductor |
24180 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25056 |
Modular degree for the optimal curve |
Δ |
-10793952000 = -1 · 28 · 33 · 53 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4485,-117225] |
[a1,a2,a3,a4,a6] |
Generators |
[90:465:1] |
Generators of the group modulo torsion |
j |
-38982341165056/42163875 |
j-invariant |
L |
7.0220369980701 |
L(r)(E,1)/r! |
Ω |
0.29167063892857 |
Real period |
R |
1.337512640945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720cq1 72540s1 120900c1 |
Quadratic twists by: -4 -3 5 |