Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950bg |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-4598000000 = -1 · 27 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 0 11- -7 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1117,-14459] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-7:1] |
Generators of the group modulo torsion |
j |
-81563625/2432 |
j-invariant |
L |
2.0226726553646 |
L(r)(E,1)/r! |
Ω |
0.41216901192024 |
Real period |
R |
2.4536931691428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000381686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598s1 114950co1 |
Quadratic twists by: 5 -11 |