Atkin-Lehner |
2- 7+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126896h |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
124698494255104 = 214 · 72 · 114 · 1032 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12571,75210] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:618:1] |
Generators of the group modulo torsion |
j |
53638082426097/30443968324 |
j-invariant |
L |
2.0683730101931 |
L(r)(E,1)/r! |
Ω |
0.50504325633107 |
Real period |
R |
2.0477186499377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097489 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15862d2 |
Quadratic twists by: -4 |