Atkin-Lehner |
2+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2470b |
Isogeny class |
Conductor |
2470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-126464000000000 = -1 · 218 · 59 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 0 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11921,-203294] |
[a1,a2,a3,a4,a6] |
Generators |
[525:4844:27] |
Generators of the group modulo torsion |
j |
187376078091802391/126464000000000 |
j-invariant |
L |
2.5441821461174 |
L(r)(E,1)/r! |
Ω |
0.33303270435031 |
Real period |
R |
3.8197181731456 |
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 |
19760r3 79040s3 22230bt3 12350n3 |
Quadratic twists by: -4 8 -3 5 |