Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34440z |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
14120400 = 24 · 3 · 52 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75,150] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:15:1] |
Generators of the group modulo torsion |
j |
2955053056/882525 |
j-invariant |
L |
7.8787506932175 |
L(r)(E,1)/r! |
Ω |
2.0668587221512 |
Real period |
R |
1.9059722391226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880g1 103320m1 |
Quadratic twists by: -4 -3 |