Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900k |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-67481700000000 = -1 · 28 · 3 · 58 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11+ 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3708,405912] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:650:1] |
Generators of the group modulo torsion |
j |
-56397520/674817 |
j-invariant |
L |
5.1232076517822 |
L(r)(E,1)/r! |
Ω |
0.52524089431915 |
Real period |
R |
0.54188973173962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700ca1 42900ba1 |
Quadratic twists by: -3 5 |