Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33396b |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
23510784 = 28 · 3 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4044,100344] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:330:1] [26:110:1] |
Generators of the group modulo torsion |
j |
21470715632/69 |
j-invariant |
L |
6.3086390044105 |
L(r)(E,1)/r! |
Ω |
1.8633080599949 |
Real period |
R |
2.2571465376936 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100188r2 33396a2 |
Quadratic twists by: -3 -11 |