Atkin-Lehner |
2+ 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4370a |
Isogeny class |
Conductor |
4370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4734423040 = -1 · 212 · 5 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 3 -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6153,-186292] |
[a1,a2,a3,a4,a6] |
Generators |
[123:898:1] |
Generators of the group modulo torsion |
j |
-25756271299361161/4734423040 |
j-invariant |
L |
1.6423483304517 |
L(r)(E,1)/r! |
Ω |
0.2695265153921 |
Real period |
R |
3.0467286828208 |
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 |
34960j2 39330br2 21850h2 83030h2 |
Quadratic twists by: -4 -3 5 -19 |