Atkin-Lehner |
2+ 3- 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650be |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
22855680 |
Modular degree for the optimal curve |
Δ |
-2.051373517249E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-148476576,-699775549202] |
[a1,a2,a3,a4,a6] |
Generators |
[23561:-2991933:1] |
Generators of the group modulo torsion |
j |
-37067858447806530225025/210060648166295808 |
j-invariant |
L |
4.1070344885865 |
L(r)(E,1)/r! |
Ω |
0.021617622741895 |
Real period |
R |
0.98950772153311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650ck1 |
Quadratic twists by: 5 |