Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763y |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-3.1149859991864E+19 |
Discriminant |
Eigenvalues |
-1 3- -1 7+ 2 7 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-933696,438894357] |
[a1,a2,a3,a4,a6] |
Generators |
[1229:33269:1] |
Generators of the group modulo torsion |
j |
-105484561/36501 |
j-invariant |
L |
5.5154438993652 |
L(r)(E,1)/r! |
Ω |
0.19659951221812 |
Real period |
R |
4.6757015786765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77763k1 3381k1 |
Quadratic twists by: -7 -23 |