Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240bn |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-106608647429160960 = -1 · 246 · 3 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-478920,128372340] |
[a1,a2,a3,a4,a6] |
Generators |
[28664494:78643200:68921] |
Generators of the group modulo torsion |
j |
-2965880116461979081/26027501813760 |
j-invariant |
L |
7.7275424985034 |
L(r)(E,1)/r! |
Ω |
0.33632043597101 |
Real period |
R |
5.7441814947944 |
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 |
3030e1 96960by1 72720bh1 121200cg1 |
Quadratic twists by: -4 8 -3 5 |