Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20280r |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-4.1230293562224E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-554376,-347207940] |
[a1,a2,a3,a4,a6] |
Generators |
[15793115734:58488729533:16387064] |
Generators of the group modulo torsion |
j |
-1735192372/3796875 |
j-invariant |
L |
2.3809197854861 |
L(r)(E,1)/r! |
Ω |
0.081917853988388 |
Real period |
R |
14.532361808597 |
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 |
40560x1 60840bd1 101400br1 20280j1 |
Quadratic twists by: -4 -3 5 13 |