Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280bn |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
13515840000000000 = 215 · 32 · 510 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60080,-897600] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:1200:1] |
Generators of the group modulo torsion |
j |
5855456577737521/3299765625000 |
j-invariant |
L |
6.6594041210624 |
L(r)(E,1)/r! |
Ω |
0.32835417459115 |
Real period |
R |
0.50702904335329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410x2 |
Quadratic twists by: -4 |