Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bi |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62045379738810 = 2 · 32 · 5 · 134 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-139738,-20113702] |
[a1,a2,a3,a4,a6] |
Generators |
[432:217:1] |
Generators of the group modulo torsion |
j |
12501706118329/2570490 |
j-invariant |
L |
7.1916716464084 |
L(r)(E,1)/r! |
Ω |
0.24693159101932 |
Real period |
R |
3.6405182370964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999794428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390a3 |
Quadratic twists by: 17 |