Atkin-Lehner |
2- 3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42978x |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-72186536448 = -1 · 29 · 39 · 13 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1493,25569] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:103:1] |
Generators of the group modulo torsion |
j |
-368062283004625/72186536448 |
j-invariant |
L |
10.91646887731 |
L(r)(E,1)/r! |
Ω |
1.0483618844099 |
Real period |
R |
1.1569869187409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
128934y1 |
Quadratic twists by: -3 |