Atkin-Lehner |
2+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10336a |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4461395153408 = -1 · 29 · 176 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -4 -2 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2213,-93390] |
[a1,a2,a3,a4,a6] |
Generators |
[706:18798:1] |
Generators of the group modulo torsion |
j |
2340981560952/8713662409 |
j-invariant |
L |
2.5997547803625 |
L(r)(E,1)/r! |
Ω |
0.39396994765924 |
Real period |
R |
6.5988657150344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10336i2 20672h2 93024bg2 |
Quadratic twists by: -4 8 -3 |