Atkin-Lehner |
2+ 3- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410n |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
11880960 |
Modular degree for the optimal curve |
Δ |
-2.0099492159989E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -6 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36946944,89100083200] |
[a1,a2,a3,a4,a6] |
Generators |
[16121:1911032:1] |
Generators of the group modulo torsion |
j |
-7651238811079159125393409/275713198353755136000 |
j-invariant |
L |
4.4990895391663 |
L(r)(E,1)/r! |
Ω |
0.099755527456354 |
Real period |
R |
0.93960740315518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28470l1 |
Quadratic twists by: -3 |