Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763w |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2040192 |
Modular degree for the optimal curve |
Δ |
-3.1149859991864E+19 |
Discriminant |
Eigenvalues |
1 3- 3 7+ 0 -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,608603,196798697] |
[a1,a2,a3,a4,a6] |
Generators |
[-656076759320749228390815:58093583033308006833958423:5287313021743363416931] |
Generators of the group modulo torsion |
j |
2401/3 |
j-invariant |
L |
11.246323469438 |
L(r)(E,1)/r! |
Ω |
0.13985333106391 |
Real period |
R |
40.207563823767 |
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 |
77763i1 77763x1 |
Quadratic twists by: -7 -23 |