Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400q |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-210700000000 = -1 · 28 · 58 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 5 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,-22500] |
[a1,a2,a3,a4,a6] |
Generators |
[41:161:1] |
Generators of the group modulo torsion |
j |
-138240/2107 |
j-invariant |
L |
8.0841293250469 |
L(r)(E,1)/r! |
Ω |
0.42862383760235 |
Real period |
R |
3.1434436605735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60200e1 120400e1 |
Quadratic twists by: -4 5 |