Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488hi |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-5283063477831763008 = -1 · 26 · 321 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185908,-114871450] |
[a1,a2,a3,a4,a6] |
j |
-226591821421000000/1684650343696353 |
j-invariant |
L |
2.1354209604204 |
L(r)(E,1)/r! |
Ω |
0.10168672043042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488fy1 51744p1 103488eq1 |
Quadratic twists by: -4 8 -7 |