Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640c |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
883097600000000 = 222 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54241,4665441] |
[a1,a2,a3,a4,a6] |
Generators |
[6852:17409:64] |
Generators of the group modulo torsion |
j |
67324767141241/3368750000 |
j-invariant |
L |
6.6166191359398 |
L(r)(E,1)/r! |
Ω |
0.49266215267814 |
Real period |
R |
6.7151689042597 |
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 |
24640bq2 770d2 123200br2 |
Quadratic twists by: -4 8 5 |