Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502bn |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2825280 |
Modular degree for the optimal curve |
Δ |
-5.2046027236783E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4320535,-316222711] |
[a1,a2,a3,a4,a6] |
Generators |
[651:52324:1] |
Generators of the group modulo torsion |
j |
12235137685726119176375/7139372734812459232 |
j-invariant |
L |
9.9881220401177 |
L(r)(E,1)/r! |
Ω |
0.080312126657824 |
Real period |
R |
4.1455433343943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278c1 |
Quadratic twists by: -3 |