Atkin-Lehner |
2+ 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52030i |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
209487088250 = 2 · 53 · 117 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76310669,-256562816317] |
[a1,a2,a3,a4,a6] |
Generators |
[8324981:-1201649758:343] |
Generators of the group modulo torsion |
j |
27741081432830042816001/118250 |
j-invariant |
L |
4.0163481991773 |
L(r)(E,1)/r! |
Ω |
0.051080276467213 |
Real period |
R |
13.104693490934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4730g4 |
Quadratic twists by: -11 |