Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4928x |
Isogeny class |
Conductor |
4928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-1690304 = -1 · 26 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 11- -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19,-77] |
[a1,a2,a3,a4,a6] |
Generators |
[66:539:1] |
Generators of the group modulo torsion |
j |
-12487168/26411 |
j-invariant |
L |
4.8941595855271 |
L(r)(E,1)/r! |
Ω |
1.0673899280695 |
Real period |
R |
2.2925828026028 |
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 |
4928bd1 2464a1 44352dq1 123200ge1 |
Quadratic twists by: -4 8 -3 5 |