Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112700g |
Isogeny class |
Conductor |
112700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30965760 |
Modular degree for the optimal curve |
Δ |
-1.7754956948969E+26 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 -1 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,125231342,-346416056687] |
[a1,a2,a3,a4,a6] |
Generators |
[48716570334:5818214673775:11697083] |
Generators of the group modulo torsion |
j |
7384729019637956864/6036585758984375 |
j-invariant |
L |
6.1859702543914 |
L(r)(E,1)/r! |
Ω |
0.03159815770328 |
Real period |
R |
16.314163820563 |
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 |
22540h1 16100a1 |
Quadratic twists by: 5 -7 |