Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
47700n |
Isogeny class |
Conductor |
47700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4642560 |
Modular degree for the optimal curve |
Δ |
-8.6517000211279E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22098000,42413762500] |
[a1,a2,a3,a4,a6] |
Generators |
[1400:119250:1] |
Generators of the group modulo torsion |
j |
-3274048339116032/237358025271 |
j-invariant |
L |
4.3449704097574 |
L(r)(E,1)/r! |
Ω |
0.1057672169401 |
Real period |
R |
1.1411250667719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15900e1 47700k1 |
Quadratic twists by: -3 5 |