Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350d |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
853882324120000000 = 29 · 57 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117081442,-487589266284] |
[a1,a2,a3,a4,a6] |
j |
281504613025066887/1354240 |
j-invariant |
L |
1.4686811367952 |
L(r)(E,1)/r! |
Ω |
0.045896285556342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11270m2 56350c2 |
Quadratic twists by: 5 -7 |