Atkin-Lehner |
2- 7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
12922f |
Isogeny class |
Conductor |
12922 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-2.3698173051352E+21 |
Discriminant |
Eigenvalues |
2- -1 -4 7- -3 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15919785,-24567160529] |
[a1,a2,a3,a4,a6] |
Generators |
[25483515:1791485906:3375] |
Generators of the group modulo torsion |
j |
-446205899957170349471988241/2369817305135193514328 |
j-invariant |
L |
3.9590884408159 |
L(r)(E,1)/r! |
Ω |
0.037778727798205 |
Real period |
R |
3.493225483896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103376k2 116298s2 90454l2 |
Quadratic twists by: -4 -3 -7 |