Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710y |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1156916544648021360 = 24 · 311 · 5 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-879548,-313029489] |
[a1,a2,a3,a4,a6] |
j |
103222496159832099961/1586991144921840 |
j-invariant |
L |
2.4966592297355 |
L(r)(E,1)/r! |
Ω |
0.15604120185847 |
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 |
85680en2 3570d2 53550bm2 74970dg2 |
Quadratic twists by: -4 -3 5 -7 |