Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bv |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-3.2814802141184E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1006592,-780402688] |
[a1,a2,a3,a4,a6] |
Generators |
[722:17950:1] |
Generators of the group modulo torsion |
j |
1762396940073671/5127312834560 |
j-invariant |
L |
3.2568766687379 |
L(r)(E,1)/r! |
Ω |
0.087895008343367 |
Real period |
R |
4.631771374382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650x1 10640r1 |
Quadratic twists by: -4 5 |