Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600cr |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7375872000000 = -1 · 216 · 3 · 56 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4767,33663] |
[a1,a2,a3,a4,a6] |
Generators |
[29:444:1] |
Generators of the group modulo torsion |
j |
11696828/7203 |
j-invariant |
L |
6.953224527728 |
L(r)(E,1)/r! |
Ω |
0.45892945731316 |
Real period |
R |
3.787741458369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600ed3 4200q4 100800em3 1344b4 |
Quadratic twists by: -4 8 -3 5 |