Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200gg |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
-3.2998927571064E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7254408,28640611188] |
[a1,a2,a3,a4,a6] |
Generators |
[1788:-146250:1] |
Generators of the group modulo torsion |
j |
-659704930833045889/5156082432978750 |
j-invariant |
L |
8.5537438231799 |
L(r)(E,1)/r! |
Ω |
0.082609710662304 |
Real period |
R |
1.29430059607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650b4 21840w3 |
Quadratic twists by: -4 5 |