Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830q |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5158996582031250000 = 24 · 3 · 520 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-491963,-75523594] |
[a1,a2,a3,a4,a6] |
Generators |
[800:6162:1] |
Generators of the group modulo torsion |
j |
13167998447866683762601/5158996582031250000 |
j-invariant |
L |
3.4877302837765 |
L(r)(E,1)/r! |
Ω |
0.18640473176577 |
Real period |
R |
0.93552622048219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640bv4 14490bp3 24150bn4 33810m4 |
Quadratic twists by: -4 -3 5 -7 |