Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270be |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
17127288418823460 = 22 · 36 · 5 · 537 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-66070,-1782865] |
[a1,a2,a3,a4,a6] |
Generators |
[-449261225:-3975975801:2248091] |
Generators of the group modulo torsion |
j |
1439069689/772740 |
j-invariant |
L |
8.5659938249698 |
L(r)(E,1)/r! |
Ω |
0.31689635652468 |
Real period |
R |
13.515450155644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590h1 |
Quadratic twists by: 53 |