Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6630m |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-431115750 = -1 · 2 · 33 · 53 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -3 13- 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-293,-2194] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-3:1] |
Generators of the group modulo torsion |
j |
-2768178670921/431115750 |
j-invariant |
L |
4.0104001585041 |
L(r)(E,1)/r! |
Ω |
0.57229727156783 |
Real period |
R |
2.3358490757303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53040cc1 19890u1 33150bi1 86190cr1 |
Quadratic twists by: -4 -3 5 13 |