Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10920m |
Isogeny class |
Conductor |
10920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3236163840000 = -1 · 211 · 34 · 54 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3120,-108468] |
[a1,a2,a3,a4,a6] |
j |
-1640577425762/1580158125 |
j-invariant |
L |
1.2292878325771 |
L(r)(E,1)/r! |
Ω |
0.30732195814428 |
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 |
21840v3 87360bv3 32760i3 54600w3 |
Quadratic twists by: -4 8 -3 5 |