Atkin-Lehner |
2- 3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480x |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-14165909130240 = -1 · 210 · 34 · 5 · 7 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5880,-248868] |
[a1,a2,a3,a4,a6] |
j |
-21959861222884/13833895635 |
j-invariant |
L |
2.1203264395407 |
L(r)(E,1)/r! |
Ω |
0.26504080494271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960y3 118440bb3 |
Quadratic twists by: -4 -3 |