Atkin-Lehner |
2- 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
66650l |
Isogeny class |
Conductor |
66650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-4.4728057856E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -5 2 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7402813,-8396855469] |
[a1,a2,a3,a4,a6] |
Generators |
[3255:43172:1] |
Generators of the group modulo torsion |
j |
-2871402185724365320201/286259570278400000 |
j-invariant |
L |
7.2065752928512 |
L(r)(E,1)/r! |
Ω |
0.045506405366674 |
Real period |
R |
2.199499668247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13330b1 |
Quadratic twists by: 5 |