Atkin-Lehner |
2+ 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234k |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
240652620912610816 = 29 · 79 · 132 · 413 |
Discriminant |
Eigenvalues |
2+ -1 3 7- -6 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-841061,295595917] |
[a1,a2,a3,a4,a6] |
Generators |
[153:12982:1] |
Generators of the group modulo torsion |
j |
559266446640355273/2045513526784 |
j-invariant |
L |
3.0358873245462 |
L(r)(E,1)/r! |
Ω |
0.31410438284347 |
Real period |
R |
0.80543483054647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462g2 |
Quadratic twists by: -7 |