Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200dn |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-8.89205541552E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 -3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71333,-453773037] |
[a1,a2,a3,a4,a6] |
j |
-25088880640/55575346347 |
j-invariant |
L |
3.6341954160426 |
L(r)(E,1)/r! |
Ω |
0.086528463942183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5325g1 85200bm1 |
Quadratic twists by: -4 5 |