Atkin-Lehner |
2+ 3- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910g |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1163485822500 = 22 · 36 · 54 · 172 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119850,-15940000] |
[a1,a2,a3,a4,a6] |
Generators |
[682:14464:1] |
Generators of the group modulo torsion |
j |
261163414019837601/1596002500 |
j-invariant |
L |
3.5014368092164 |
L(r)(E,1)/r! |
Ω |
0.25659018180778 |
Real period |
R |
3.4115070039917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989872 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7990g2 |
Quadratic twists by: -3 |