Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1650i |
Isogeny class |
Conductor |
1650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-29700 = -1 · 22 · 33 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,8] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
-625/1188 |
j-invariant |
L |
2.3831330570147 |
L(r)(E,1)/r! |
Ω |
2.9953061440841 |
Real period |
R |
0.13260375525228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13200bk1 52800p1 4950bg1 1650p1 |
Quadratic twists by: -4 8 -3 5 |