Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129200b |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8346320000000 = 210 · 57 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-278210675,1786112453250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1184535:1089575900:729] |
Generators of the group modulo torsion |
j |
148841863688468144572164/521645 |
j-invariant |
L |
7.4648930781227 |
L(r)(E,1)/r! |
Ω |
0.23646697196718 |
Real period |
R |
7.8921097196288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999019266 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64600s4 25840l4 |
Quadratic twists by: -4 5 |