Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600cr |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
336000000 = 210 · 3 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-733,-7837] |
[a1,a2,a3,a4,a6] |
Generators |
[314:1275:8] |
Generators of the group modulo torsion |
j |
2725888/21 |
j-invariant |
L |
6.953224527728 |
L(r)(E,1)/r! |
Ω |
0.91785891462632 |
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 |
33600ed1 4200q1 100800em1 1344b1 |
Quadratic twists by: -4 8 -3 5 |