Atkin-Lehner |
2+ 3+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
104904a |
Isogeny class |
Conductor |
104904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
377856 |
Modular degree for the optimal curve |
Δ |
662741366052096 = 28 · 33 · 314 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 -1 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33156,1966148] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1922:1] |
Generators of the group modulo torsion |
j |
583185040966656/95882720783 |
j-invariant |
L |
8.6742057821567 |
L(r)(E,1)/r! |
Ω |
0.48826574361549 |
Real period |
R |
1.1103336007713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104904i1 |
Quadratic twists by: -3 |