Atkin-Lehner |
2+ 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800y |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-330292747699200 = -1 · 210 · 35 · 52 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32968,2453408] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:2028:1] |
Generators of the group modulo torsion |
j |
-154801343130820/12902060457 |
j-invariant |
L |
9.4704527699523 |
L(r)(E,1)/r! |
Ω |
0.53043140588108 |
Real period |
R |
0.29757076548457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800cd1 |
Quadratic twists by: 5 |