Atkin-Lehner |
2+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9922b |
Isogeny class |
Conductor |
9922 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29760 |
Modular degree for the optimal curve |
Δ |
-51134336704 = -1 · 26 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ -2 3 -5 11- -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7747,-263298] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1848:1] |
Generators of the group modulo torsion |
j |
-29019350017/28864 |
j-invariant |
L |
2.0176327129318 |
L(r)(E,1)/r! |
Ω |
0.25442921843203 |
Real period |
R |
1.9825088539023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79376w1 89298cg1 902b1 |
Quadratic twists by: -4 -3 -11 |