Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840ca |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1405245508392960 = 211 · 37 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12655227,-17328182794] |
[a1,a2,a3,a4,a6] |
j |
31103978031362/195 |
j-invariant |
L |
2.5614273731974 |
L(r)(E,1)/r! |
Ω |
0.080044605757487 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680bv4 20280d4 4680g3 |
Quadratic twists by: -4 -3 13 |