Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
1854c |
Isogeny class |
Conductor |
1854 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-7208352 = -1 · 25 · 37 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -1 -4 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,-131] |
[a1,a2,a3,a4,a6] |
Generators |
[5:2:1] |
Generators of the group modulo torsion |
j |
103823/9888 |
j-invariant |
L |
2.3418469583515 |
L(r)(E,1)/r! |
Ω |
1.1184789364799 |
Real period |
R |
1.046889164369 |
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 |
14832j1 59328t1 618e1 46350bs1 |
Quadratic twists by: -4 8 -3 5 |