Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763s |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2921184 |
Modular degree for the optimal curve |
Δ |
-2.0149288317718E+19 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 4 3 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-993638,438487076] |
[a1,a2,a3,a4,a6] |
Generators |
[-26970:562049:27] |
Generators of the group modulo torsion |
j |
-11776000/2187 |
j-invariant |
L |
3.3876505141076 |
L(r)(E,1)/r! |
Ω |
0.20765972966011 |
Real period |
R |
5.4378229222457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1587d1 77763t1 |
Quadratic twists by: -7 -23 |