Atkin-Lehner |
7+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
46501b |
Isogeny class |
Conductor |
46501 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8208 |
Modular degree for the optimal curve |
Δ |
2278549 = 74 · 13 · 73 |
Discriminant |
Eigenvalues |
-2 0 -3 7+ -3 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-49,110] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:10:1] [0:10:1] |
Generators of the group modulo torsion |
j |
5419008/949 |
j-invariant |
L |
3.6693141302627 |
L(r)(E,1)/r! |
Ω |
2.4710098085251 |
Real period |
R |
0.49498173008794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46501e1 |
Quadratic twists by: -7 |