Atkin-Lehner |
5+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
52325h |
Isogeny class |
Conductor |
52325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
502941359375 = 56 · 72 · 134 · 23 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ -4 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2451,-32077] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:109:1] |
Generators of the group modulo torsion |
j |
104154702625/32188247 |
j-invariant |
L |
2.7956992240927 |
L(r)(E,1)/r! |
Ω |
0.69493560215931 |
Real period |
R |
1.0057403935683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2093d2 |
Quadratic twists by: 5 |