Atkin-Lehner |
2- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104468y |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33408 |
Modular degree for the optimal curve |
Δ |
222725776 = 24 · 72 · 132 · 412 |
Discriminant |
Eigenvalues |
2- 1 3 7- -3 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-254,-1471] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:13:1] |
Generators of the group modulo torsion |
j |
2320691968/284089 |
j-invariant |
L |
10.54162798686 |
L(r)(E,1)/r! |
Ω |
1.2050894158275 |
Real period |
R |
0.72896582477527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468c1 |
Quadratic twists by: -7 |