Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122892z |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
2.7730188878006E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4075885,1899269567] |
[a1,a2,a3,a4,a6] |
Generators |
[2186:58653:1] |
Generators of the group modulo torsion |
j |
248634493714898944/92071373581341 |
j-invariant |
L |
9.5417638831004 |
L(r)(E,1)/r! |
Ω |
0.13112612946329 |
Real period |
R |
1.2127971696171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999607466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17556e1 |
Quadratic twists by: -7 |