Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210cp |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1438381476000 = -1 · 25 · 34 · 53 · 74 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 -3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2400,36000] |
[a1,a2,a3,a4,a6] |
Generators |
[270:4380:1] |
Generators of the group modulo torsion |
j |
636728027999/599076000 |
j-invariant |
L |
13.691691395468 |
L(r)(E,1)/r! |
Ω |
0.55823137054438 |
Real period |
R |
0.068130309590102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63210bm1 |
Quadratic twists by: -7 |