Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640r |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
30356480 = 210 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-341,2299] |
[a1,a2,a3,a4,a6] |
Generators |
[15:28:1] |
Generators of the group modulo torsion |
j |
4294967296/29645 |
j-invariant |
L |
3.5079962193655 |
L(r)(E,1)/r! |
Ω |
2.1007161357067 |
Real period |
R |
0.83495246210059 |
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 |
24640bb1 1540b1 123200y1 |
Quadratic twists by: -4 8 5 |