Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
60840be |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
225533229742080 = 211 · 33 · 5 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105963,-13256698] |
[a1,a2,a3,a4,a6] |
j |
492983766/845 |
j-invariant |
L |
2.1171210644758 |
L(r)(E,1)/r! |
Ω |
0.26464013295779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680a2 60840b2 4680c2 |
Quadratic twists by: -4 -3 13 |