Atkin-Lehner |
2+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33350a |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
26680000000 = 29 · 57 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -1 -7 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7400,-248000] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:26:1] |
Generators of the group modulo torsion |
j |
2868735731329/1707520 |
j-invariant |
L |
2.8926998722329 |
L(r)(E,1)/r! |
Ω |
0.51475372623443 |
Real period |
R |
2.8097901237103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670f1 |
Quadratic twists by: 5 |