Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124j |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-425622758609664 = -1 · 28 · 36 · 72 · 115 · 172 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12456,-1127628] |
[a1,a2,a3,a4,a6] |
Generators |
[20705:145439:125] |
Generators of the group modulo torsion |
j |
-1145228156928/2280643211 |
j-invariant |
L |
6.5739612667101 |
L(r)(E,1)/r! |
Ω |
0.21234820487314 |
Real period |
R |
7.7396007075228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5236b1 |
Quadratic twists by: -3 |