Atkin-Lehner |
2+ 3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bl |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
7497201903206400 = 222 · 33 · 52 · 72 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54293,-2525344] |
[a1,a2,a3,a4,a6] |
j |
17698796351170126921/7497201903206400 |
j-invariant |
L |
1.9491667233046 |
L(r)(E,1)/r! |
Ω |
0.3248611205523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810db1 |
Quadratic twists by: -3 |