Atkin-Lehner |
3- 7- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104811u |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
420480 |
Modular degree for the optimal curve |
Δ |
11530078568757 = 315 · 72 · 232 · 31 |
Discriminant |
Eigenvalues |
-2 3- -2 7- 3 -6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7744,-207812] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:121:1] [-64:172:1] |
Generators of the group modulo torsion |
j |
1048285902082048/235307725893 |
j-invariant |
L |
6.3196633807298 |
L(r)(E,1)/r! |
Ω |
0.51709958051851 |
Real period |
R |
0.40737887620973 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001147 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104811a1 |
Quadratic twists by: -7 |