Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600db |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
331914240000000 = 216 · 33 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-289633,59892863] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:8400:1] |
Generators of the group modulo torsion |
j |
2624033547076/324135 |
j-invariant |
L |
7.6009570828347 |
L(r)(E,1)/r! |
Ω |
0.52100463060612 |
Real period |
R |
0.60787664161383 |
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 |
33600es4 4200e3 100800fw4 6720j3 |
Quadratic twists by: -4 8 -3 5 |