Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60760g |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
709116641408000 = 210 · 53 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6402160,6237155100] |
[a1,a2,a3,a4,a6] |
Generators |
[11130:36735:8] |
Generators of the group modulo torsion |
j |
240887993512424836/5886125 |
j-invariant |
L |
9.0557297631498 |
L(r)(E,1)/r! |
Ω |
0.36910539559045 |
Real period |
R |
4.0890442456485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121520bb2 8680e2 |
Quadratic twists by: -4 -7 |