Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360m |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1033600000 = -1 · 210 · 55 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ -3 2 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,119,1425] |
[a1,a2,a3,a4,a6] |
j |
180472064/1009375 |
j-invariant |
L |
1.1242559474587 |
L(r)(E,1)/r! |
Ω |
1.1242562537876 |
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 |
103360cb1 6460f1 |
Quadratic twists by: -4 8 |