Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ed |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
580608000000 = 216 · 34 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15233,-717663] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:12:1] [251:3348:1] |
Generators of the group modulo torsion |
j |
381775972/567 |
j-invariant |
L |
7.3071913369525 |
L(r)(E,1)/r! |
Ω |
0.42977342229283 |
Real period |
R |
8.5012136138699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600cr4 8400r3 100800lb4 1344t3 |
Quadratic twists by: -4 8 -3 5 |