Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
59760l |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
653475600000000 = 210 · 39 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-432147,109337186] |
[a1,a2,a3,a4,a6] |
Generators |
[-743:4500:1] |
Generators of the group modulo torsion |
j |
11956132917398596/875390625 |
j-invariant |
L |
7.287169448972 |
L(r)(E,1)/r! |
Ω |
0.48690654499496 |
Real period |
R |
1.8707823718412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29880n4 19920b3 |
Quadratic twists by: -4 -3 |