Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
43452g |
Isogeny class |
Conductor |
43452 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1697280 |
Modular degree for the optimal curve |
Δ |
-2.1296346744373E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -3 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1618152,-2074127996] |
[a1,a2,a3,a4,a6] |
Generators |
[3584:223074:1] |
Generators of the group modulo torsion |
j |
2510811802959601664/11411365496599251 |
j-invariant |
L |
4.8629217901691 |
L(r)(E,1)/r! |
Ω |
0.074002008971836 |
Real period |
R |
0.54761146101898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14484f1 |
Quadratic twists by: -3 |