Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600dw |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
1758010772801250000 = 24 · 38 · 57 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33067283,73177962438] |
[a1,a2,a3,a4,a6] |
Generators |
[3343:-2325:1] [502:238128:1] |
Generators of the group modulo torsion |
j |
9028656748079104/3969405 |
j-invariant |
L |
11.788529556398 |
L(r)(E,1)/r! |
Ω |
0.21588259679203 |
Real period |
R |
1.706443938104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520c1 6600j1 |
Quadratic twists by: 5 -11 |