Atkin-Lehner |
3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41325j |
Isogeny class |
Conductor |
41325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-182010796875 = -1 · 36 · 56 · 19 · 292 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -5 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-683,21419] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-131:1] |
Generators of the group modulo torsion |
j |
-2258403328/11648691 |
j-invariant |
L |
6.2846010243221 |
L(r)(E,1)/r! |
Ω |
0.87707037368455 |
Real period |
R |
0.59712055923951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975s1 1653a1 |
Quadratic twists by: -3 5 |