Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850be |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
-7.89507709298E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11+ -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4324371,3715522798] |
[a1,a2,a3,a4,a6] |
Generators |
[671:-33744:1] |
Generators of the group modulo torsion |
j |
-357727557924004970392465/31580308371920191488 |
j-invariant |
L |
5.0998544555381 |
L(r)(E,1)/r! |
Ω |
0.15579689109366 |
Real period |
R |
1.636699686293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850cf1 |
Quadratic twists by: 5 |