Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bt |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1452729852000000000 = 211 · 32 · 59 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1872208,984922912] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:37044:1] |
Generators of the group modulo torsion |
j |
4496182/9 |
j-invariant |
L |
5.4567332684694 |
L(r)(E,1)/r! |
Ω |
0.26953674444506 |
Real period |
R |
2.5306073202911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400el2 58800ed2 58800ee2 |
Quadratic twists by: -4 5 -7 |