Atkin-Lehner |
5+ 13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127075b |
Isogeny class |
Conductor |
127075 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2730240 |
Modular degree for the optimal curve |
Δ |
-1.0437648991936E+19 |
Discriminant |
Eigenvalues |
-1 -1 5+ -4 3 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,537437,-33890844] |
[a1,a2,a3,a4,a6] |
Generators |
[870:32627:1] [120:5627:1] |
Generators of the group modulo torsion |
j |
1098718209614764439/668009535483875 |
j-invariant |
L |
5.8254132107773 |
L(r)(E,1)/r! |
Ω |
0.13249208841231 |
Real period |
R |
1.0992002023018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999919823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25415a1 |
Quadratic twists by: 5 |