Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710bd |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
998743434987110400 = 216 · 316 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3172838,-2173979019] |
[a1,a2,a3,a4,a6] |
j |
4845512858070228485401/1370018429337600 |
j-invariant |
L |
3.6198863695183 |
L(r)(E,1)/r! |
Ω |
0.11312144904745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680dr2 3570i2 53550bh2 74970dy2 |
Quadratic twists by: -4 -3 5 -7 |