Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100j |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6306306362748000000 = 28 · 314 · 56 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-610708,-138166088] |
[a1,a2,a3,a4,a6] |
Generators |
[-3462:53599:8] |
Generators of the group modulo torsion |
j |
6297457702786000/1576576590687 |
j-invariant |
L |
5.1308199026023 |
L(r)(E,1)/r! |
Ω |
0.17391894817415 |
Real period |
R |
4.9168688019252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001083 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2604c2 |
Quadratic twists by: 5 |