Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640bd |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
129735000000000 = 29 · 33 · 510 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 6 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27627,-1680354] |
[a1,a2,a3,a4,a6] |
Generators |
[597:13950:1] |
Generators of the group modulo torsion |
j |
168690711527064/9384765625 |
j-invariant |
L |
7.4699732137788 |
L(r)(E,1)/r! |
Ω |
0.37159488223825 |
Real period |
R |
1.0051232633744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640h2 89280e2 44640b2 |
Quadratic twists by: -4 8 -3 |