Atkin-Lehner |
2- 3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350ca |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1082880 |
Modular degree for the optimal curve |
Δ |
-1383646570312500 = -1 · 22 · 32 · 59 · 135 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -3 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-124213,-16955083] |
[a1,a2,a3,a4,a6] |
j |
-13564539597324169/88553380500 |
j-invariant |
L |
5.0841501671032 |
L(r)(E,1)/r! |
Ω |
0.12710375014173 |
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 |
20670d1 |
Quadratic twists by: 5 |