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 |
Δ |
-79385028425352 = -1 · 23 · 33 · 133 · 193 · 293 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10387,-132327] |
[a1,a2,a3,a4,a6] |
Generators |
[16:187:1] |
Generators of the group modulo torsion |
j |
123934293043859375/79385028425352 |
j-invariant |
L |
10.91646887731 |
L(r)(E,1)/r! |
Ω |
0.34945396146996 |
Real period |
R |
3.4709607562227 |
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 |
128934y2 |
Quadratic twists by: -3 |