Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450d |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-316076312500 = -1 · 22 · 56 · 13 · 733 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71975,-7462375] |
[a1,a2,a3,a4,a6] |
Generators |
[1430429572398972:-55450801792091453:944942530797] |
Generators of the group modulo torsion |
j |
-2639113904275057/20228884 |
j-invariant |
L |
7.4199307548128 |
L(r)(E,1)/r! |
Ω |
0.14573811742767 |
Real period |
R |
25.456383291403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1898b2 |
Quadratic twists by: 5 |