Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640s |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8967283200 = 29 · 36 · 52 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2307,-42406] |
[a1,a2,a3,a4,a6] |
Generators |
[514:2185:8] |
Generators of the group modulo torsion |
j |
3638052872/24025 |
j-invariant |
L |
7.0331098368702 |
L(r)(E,1)/r! |
Ω |
0.68914476232888 |
Real period |
R |
5.1027811726491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640v2 89280ee2 4960c2 |
Quadratic twists by: -4 8 -3 |