Atkin-Lehner |
2+ 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
59760g |
Isogeny class |
Conductor |
59760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57369600 = 210 · 33 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5307,-148806] |
[a1,a2,a3,a4,a6] |
Generators |
[105:672:1] |
Generators of the group modulo torsion |
j |
597870677772/2075 |
j-invariant |
L |
7.6112751750548 |
L(r)(E,1)/r! |
Ω |
0.55935480509668 |
Real period |
R |
3.4018100432879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29880b2 59760a2 |
Quadratic twists by: -4 -3 |