Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
120328j |
Isogeny class |
Conductor |
120328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
721920 |
Modular degree for the optimal curve |
Δ |
-282305952720896 = -1 · 211 · 133 · 894 |
Discriminant |
Eigenvalues |
2- -1 1 1 -4 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1200320,506567788] |
[a1,a2,a3,a4,a6] |
Generators |
[633:26:1] |
Generators of the group modulo torsion |
j |
-42506484892957946/62742241 |
j-invariant |
L |
4.8004351141218 |
L(r)(E,1)/r! |
Ω |
0.46678382492714 |
Real period |
R |
2.5710162194373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999472698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120328d1 |
Quadratic twists by: 13 |