Atkin-Lehner |
2- 3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42978x |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-21499590336237858 = -1 · 2 · 3 · 13 · 19 · 299 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-174863,-29029845] |
[a1,a2,a3,a4,a6] |
Generators |
[147210:2729975:216] |
Generators of the group modulo torsion |
j |
-591313293127508640625/21499590336237858 |
j-invariant |
L |
10.91646887731 |
L(r)(E,1)/r! |
Ω |
0.11648465382332 |
Real period |
R |
10.412882268668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999999923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934y3 |
Quadratic twists by: -3 |