Atkin-Lehner |
3+ 5- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
20145f |
Isogeny class |
Conductor |
20145 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
24416 |
Modular degree for the optimal curve |
Δ |
-944296875 = -1 · 32 · 57 · 17 · 79 |
Discriminant |
Eigenvalues |
-2 3+ 5- -4 -6 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1620,25688] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:27:1] [-6:187:1] |
Generators of the group modulo torsion |
j |
-470475281944576/944296875 |
j-invariant |
L |
3.1041525937507 |
L(r)(E,1)/r! |
Ω |
1.5711233513576 |
Real period |
R |
0.14112525606368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60435c1 100725p1 |
Quadratic twists by: -3 5 |