Atkin-Lehner |
2+ 3+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450n |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
88576 |
Modular degree for the optimal curve |
Δ |
-847968000 = -1 · 28 · 3 · 53 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-270,2100] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:58:1] |
Generators of the group modulo torsion |
j |
-17515230173/6783744 |
j-invariant |
L |
4.9681448935648 |
L(r)(E,1)/r! |
Ω |
1.4875028501303 |
Real period |
R |
1.6699614508578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116839 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120450cj1 |
Quadratic twists by: 5 |