Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4230w |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-10152000 = -1 · 26 · 33 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -6 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-227,1379] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:46:1] |
Generators of the group modulo torsion |
j |
-47713652883/376000 |
j-invariant |
L |
5.3713178947287 |
L(r)(E,1)/r! |
Ω |
2.3011979527226 |
Real period |
R |
0.58353496799068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
33840bh1 4230c2 21150g1 |
Quadratic twists by: -4 -3 5 |