Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710be |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
669511889263901250 = 2 · 38 · 54 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 6 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-486428,-124382419] |
[a1,a2,a3,a4,a6] |
j |
17460273607244690041/918397653311250 |
j-invariant |
L |
3.6273850367926 |
L(r)(E,1)/r! |
Ω |
0.18136925183963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680dw2 3570q2 53550bi2 74970ed2 |
Quadratic twists by: -4 -3 5 -7 |