Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
4788f |
Isogeny class |
Conductor |
4788 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-10859184 = -1 · 24 · 36 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[10:35:1] |
Generators of the group modulo torsion |
j |
442368/931 |
j-invariant |
L |
4.2915685146767 |
L(r)(E,1)/r! |
Ω |
1.1841446884529 |
Real period |
R |
1.2080642274337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152bn1 76608ch1 532a1 119700v1 |
Quadratic twists by: -4 8 -3 5 |