Atkin-Lehner |
3- 7+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
33579a |
Isogeny class |
Conductor |
33579 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2341833039 = 37 · 72 · 13 · 412 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1818,-29295] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:21:1] |
Generators of the group modulo torsion |
j |
911826451873/3212391 |
j-invariant |
L |
3.4338172595403 |
L(r)(E,1)/r! |
Ω |
0.73127696769358 |
Real period |
R |
1.1739113260909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11193e2 |
Quadratic twists by: -3 |