Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720db |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-720623001600000 = -1 · 216 · 33 · 55 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,948,-1291504] |
[a1,a2,a3,a4,a6] |
Generators |
[122:800:1] |
Generators of the group modulo torsion |
j |
53248212/407253125 |
j-invariant |
L |
7.6934628931547 |
L(r)(E,1)/r! |
Ω |
0.23463383198926 |
Real period |
R |
1.639461544807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720k1 13680b1 54720cs1 |
Quadratic twists by: -4 8 -3 |