Atkin-Lehner |
2+ 3- 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650bk |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2472000 |
Modular degree for the optimal curve |
Δ |
-1.1722339392E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-659576,-263958202] |
[a1,a2,a3,a4,a6] |
Generators |
[809724008947211146783953116:18086523014448954297632155413:657692170864054979521933] |
Generators of the group modulo torsion |
j |
-16247526737564933/6001837768704 |
j-invariant |
L |
6.8431861782487 |
L(r)(E,1)/r! |
Ω |
0.082246050866667 |
Real period |
R |
41.601913442279 |
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 |
109650cq1 |
Quadratic twists by: 5 |