Atkin-Lehner |
2- 7+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022b |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8429763675393914 = 2 · 76 · 294 · 373 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-534289,-150476219] |
[a1,a2,a3,a4,a6] |
Generators |
[3933876531564:-327576298882391:567663552] |
Generators of the group modulo torsion |
j |
16867567697079534953617/8429763675393914 |
j-invariant |
L |
8.7763383971214 |
L(r)(E,1)/r! |
Ω |
0.17659098091235 |
Real period |
R |
16.566226186975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120176r2 105154k2 |
Quadratic twists by: -4 -7 |