Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080dh |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-476381952000000 = -1 · 214 · 33 · 56 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 3 4 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48768,4276192] |
[a1,a2,a3,a4,a6] |
Generators |
[641:15375:1] |
Generators of the group modulo torsion |
j |
-28996450910208/1076890625 |
j-invariant |
L |
6.5171754852433 |
L(r)(E,1)/r! |
Ω |
0.52182462880468 |
Real period |
R |
1.04076720382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999502509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080e1 29520bf1 118080dl2 |
Quadratic twists by: -4 8 -3 |