Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39710v |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-97613028578147500 = -1 · 22 · 54 · 112 · 199 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,107029,6666301] |
[a1,a2,a3,a4,a6] |
Generators |
[13746:-1618973:1] |
Generators of the group modulo torsion |
j |
420189749/302500 |
j-invariant |
L |
6.4998718770217 |
L(r)(E,1)/r! |
Ω |
0.21425611072763 |
Real period |
R |
7.5842316176554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39710h2 |
Quadratic twists by: -19 |