Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800cd |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-5160824182800000000 = -1 · 210 · 35 · 58 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-824208,308324412] |
[a1,a2,a3,a4,a6] |
Generators |
[-907:17576:1] |
Generators of the group modulo torsion |
j |
-154801343130820/12902060457 |
j-invariant |
L |
3.2898092435861 |
L(r)(E,1)/r! |
Ω |
0.23721613619017 |
Real period |
R |
3.4671010344887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800y1 |
Quadratic twists by: 5 |