Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270r |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
34886269731600 = 24 · 32 · 52 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8576,109073] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:649:1] |
Generators of the group modulo torsion |
j |
592915705201/296528400 |
j-invariant |
L |
5.264659113478 |
L(r)(E,1)/r! |
Ω |
0.57836332475796 |
Real period |
R |
1.1378356147302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000325 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8610t2 |
Quadratic twists by: -7 |