Atkin-Lehner |
3- 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98049o |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-54919881339561 = -1 · 33 · 78 · 233 · 29 |
Discriminant |
Eigenvalues |
1 3- 1 7- -1 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13158,680509] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:1044:1] |
Generators of the group modulo torsion |
j |
-2141202151369/466811289 |
j-invariant |
L |
9.5880744905236 |
L(r)(E,1)/r! |
Ω |
0.60131575723404 |
Real period |
R |
1.3287631287006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14007e1 |
Quadratic twists by: -7 |