Atkin-Lehner |
3- 7+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
127323b |
Isogeny class |
Conductor |
127323 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17135360 |
Modular degree for the optimal curve |
Δ |
-1.8338061464162E+24 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 3 6 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29309250,-89302489416] |
[a1,a2,a3,a4,a6] |
Generators |
[931088175735172:230792045934566003:15032647232] |
Generators of the group modulo torsion |
j |
-3819533292162496000000000/2515509117169009348947 |
j-invariant |
L |
5.9131201434911 |
L(r)(E,1)/r! |
Ω |
0.031512868133336 |
Real period |
R |
23.4551807474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42441g1 |
Quadratic twists by: -3 |