Atkin-Lehner |
2+ 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85910i |
Isogeny class |
Conductor |
85910 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-15214610317223680 = -1 · 28 · 5 · 119 · 712 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11- -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29042,6220724] |
[a1,a2,a3,a4,a6] |
Generators |
[482460:7317482:3375] |
Generators of the group modulo torsion |
j |
-1529221973761/8588250880 |
j-invariant |
L |
6.6104779606732 |
L(r)(E,1)/r! |
Ω |
0.34033149169938 |
Real period |
R |
9.711822334482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7810f1 |
Quadratic twists by: -11 |