Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
84084x |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3916800 |
Modular degree for the optimal curve |
Δ |
-2.6422078067827E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3088437,-3238389792] |
[a1,a2,a3,a4,a6] |
Generators |
[1677956852:181134165135:140608] |
Generators of the group modulo torsion |
j |
-1730740156295544832/1403649737132643 |
j-invariant |
L |
10.31277751582 |
L(r)(E,1)/r! |
Ω |
0.055038540147548 |
Real period |
R |
9.3686873662537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12012c1 |
Quadratic twists by: -7 |