Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176bf |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-195426680832 = -1 · 215 · 310 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 4 -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164,-26192] |
[a1,a2,a3,a4,a6] |
Generators |
[389:7641:1] |
Generators of the group modulo torsion |
j |
-7301384/8181 |
j-invariant |
L |
7.7052880551816 |
L(r)(E,1)/r! |
Ω |
0.39154893765112 |
Real period |
R |
4.9197477723274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176be1 29088a1 19392n1 |
Quadratic twists by: -4 8 -3 |