Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ez |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3507492788948828160 = 217 · 38 · 5 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20746947,-36372912446] |
[a1,a2,a3,a4,a6] |
j |
68523370149961/243360 |
j-invariant |
L |
0.56591416000939 |
L(r)(E,1)/r! |
Ω |
0.070739355364561 |
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 |
15210s2 40560ce2 9360bj2 |
Quadratic twists by: -4 -3 13 |