Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600bw |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
22707000000000 = 29 · 33 · 59 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 6 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37208,-2765412] |
[a1,a2,a3,a4,a6] |
j |
5696975656/22707 |
j-invariant |
L |
4.1259586659755 |
L(r)(E,1)/r! |
Ω |
0.3438298866334 |
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 |
69600l2 69600k2 |
Quadratic twists by: -4 5 |