Atkin-Lehner |
2- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104468c |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
233856 |
Modular degree for the optimal curve |
Δ |
26203464820624 = 24 · 78 · 132 · 412 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12462,479641] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:637:1] [16:533:1] |
Generators of the group modulo torsion |
j |
2320691968/284089 |
j-invariant |
L |
6.8649074386434 |
L(r)(E,1)/r! |
Ω |
0.64582798335921 |
Real period |
R |
0.29526728196732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468y1 |
Quadratic twists by: -7 |