Atkin-Lehner |
7- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
46501c |
Isogeny class |
Conductor |
46501 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54000 |
Modular degree for the optimal curve |
Δ |
-17167105861633 = -1 · 72 · 132 · 735 |
Discriminant |
Eigenvalues |
1 0 0 7- -3 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2728,190973] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2307:1] |
Generators of the group modulo torsion |
j |
45811148268375/350349099217 |
j-invariant |
L |
5.4388160471225 |
L(r)(E,1)/r! |
Ω |
0.5052642811074 |
Real period |
R |
5.38214974865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46501a1 |
Quadratic twists by: -7 |