Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800bb |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1443701977200000000 = 210 · 36 · 58 · 7 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68047008,-216030989988] |
[a1,a2,a3,a4,a6] |
Generators |
[-1930006608860:23675705009:405224000] |
Generators of the group modulo torsion |
j |
2177864413053873878884/90231373575 |
j-invariant |
L |
6.2332641433923 |
L(r)(E,1)/r! |
Ω |
0.052565076001255 |
Real period |
R |
14.822731781915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999939184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360o4 |
Quadratic twists by: 5 |