Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13464m |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1214021217835008 = 211 · 39 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31563,-1359450] |
[a1,a2,a3,a4,a6] |
j |
86265529686/30116537 |
j-invariant |
L |
4.4212172905262 |
L(r)(E,1)/r! |
Ω |
0.36843477421052 |
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 |
26928b2 107712j2 13464b2 |
Quadratic twists by: -4 8 -3 |