Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710a |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
677387176704000000 = 214 · 33 · 56 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4437690,3599077300] |
[a1,a2,a3,a4,a6] |
j |
357957021261376014720507/25088413952000000 |
j-invariant |
L |
1.0908806086993 |
L(r)(E,1)/r! |
Ω |
0.27272015217482 |
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 |
85680cw2 10710s2 53550cr2 74970h2 |
Quadratic twists by: -4 -3 5 -7 |