Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010bk |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
Δ |
-1.3435339345989E+34 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,47775808989,3865873444570689] |
[a1,a2,a3,a4,a6] |
Generators |
[-145865348226:-26596321019712345:428661064] |
Generators of the group modulo torsion |
j |
2092008964199791878427102647311/2330581636033743421440000000 |
j-invariant |
L |
7.5385280771875 |
L(r)(E,1)/r! |
Ω |
0.0083618855440363 |
Real period |
R |
25.758127769165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010do2 |
Quadratic twists by: -7 |