Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4230l |
Isogeny class |
Conductor |
4230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
2741040 = 24 · 36 · 5 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 5 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,-347] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:5:1] |
Generators of the group modulo torsion |
j |
148035889/3760 |
j-invariant |
L |
2.7651800523237 |
L(r)(E,1)/r! |
Ω |
1.5151585104714 |
Real period |
R |
0.9125052043114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33840cw1 470e1 21150ce1 |
Quadratic twists by: -4 -3 5 |