Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
53820a |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1188345600 = 28 · 33 · 52 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5223,145278] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-30:1] [-6:420:1] |
Generators of the group modulo torsion |
j |
2279712393072/171925 |
j-invariant |
L |
8.9908729809067 |
L(r)(E,1)/r! |
Ω |
1.4658543071229 |
Real period |
R |
1.0222563203382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53820e2 |
Quadratic twists by: -3 |