Atkin-Lehner |
2- 3+ 7+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29946o |
Isogeny class |
Conductor |
29946 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1784242572 = 22 · 3 · 7 · 23 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10324,-408055] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:31:1] [997:30831:1] |
Generators of the group modulo torsion |
j |
121694325770477377/1784242572 |
j-invariant |
L |
8.9485648101135 |
L(r)(E,1)/r! |
Ω |
0.47362838117229 |
Real period |
R |
9.446820720461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89838g4 |
Quadratic twists by: -3 |