Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320by |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
4623360 |
Modular degree for the optimal curve |
Δ |
-1.186790126355E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 5 2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7323627,7806455854] |
[a1,a2,a3,a4,a6] |
Generators |
[-2047:119250:1] |
Generators of the group modulo torsion |
j |
-116387107267776738632/3179628896484375 |
j-invariant |
L |
8.8320481215033 |
L(r)(E,1)/r! |
Ω |
0.15352522416006 |
Real period |
R |
0.47940266107615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76320bz1 25440m1 |
Quadratic twists by: -4 -3 |