Atkin-Lehner |
2- 5+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bm |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
9197757867675781250 = 2 · 512 · 73 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2748813,-1749212719] |
[a1,a2,a3,a4,a6] |
j |
147007429637804676361/588656503531250 |
j-invariant |
L |
2.8146799469883 |
L(r)(E,1)/r! |
Ω |
0.11727835402096 |
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 |
23870i2 |
Quadratic twists by: 5 |