Atkin-Lehner |
2+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614j |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
14961024 |
Modular degree for the optimal curve |
Δ |
-1.6567494505167E+23 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-123886130,-531111887070] |
[a1,a2,a3,a4,a6] |
Generators |
[5531648072383230398:112707374093213043334:423920170996561] |
Generators of the group modulo torsion |
j |
-257777464799419276153/203100043662166 |
j-invariant |
L |
2.1944669449613 |
L(r)(E,1)/r! |
Ω |
0.022625248999839 |
Real period |
R |
32.330648898448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68614s1 |
Quadratic twists by: 13 |