Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200cn |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5472000 |
Modular degree for the optimal curve |
Δ |
-3.5169062879232E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12713208,17683404912] |
[a1,a2,a3,a4,a6] |
Generators |
[-3558:133650:1] |
Generators of the group modulo torsion |
j |
-142026446510183065/2198066429952 |
j-invariant |
L |
5.2168452990156 |
L(r)(E,1)/r! |
Ω |
0.14095931824491 |
Real period |
R |
3.0841317464337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976199 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10650p1 85200cy1 |
Quadratic twists by: -4 5 |