Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450a |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1854138225253906250 = 2 · 510 · 377 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13525292,-19142067634] |
[a1,a2,a3,a4,a6] |
Generators |
[-2986605274363705:1949266686224462:1406057262427] |
Generators of the group modulo torsion |
j |
6825481747209/46250 |
j-invariant |
L |
3.7931512489941 |
L(r)(E,1)/r! |
Ω |
0.078725072136534 |
Real period |
R |
24.091125900305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13690k3 1850j3 |
Quadratic twists by: 5 37 |