Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800ii |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-29760696000000000 = -1 · 212 · 312 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-8300000] |
[a1,a2,a3,a4,a6] |
j |
64/5103 |
j-invariant |
L |
0.68528448921962 |
L(r)(E,1)/r! |
Ω |
0.17132115251482 |
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 |
100800ha2 50400bz1 33600du2 100800hb2 |
Quadratic twists by: -4 8 -3 5 |