Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560a |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
741397862400 = 211 · 3 · 52 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-540856,153278800] |
[a1,a2,a3,a4,a6] |
Generators |
[426:38:1] |
Generators of the group modulo torsion |
j |
1770025017602/75 |
j-invariant |
L |
3.1801748518328 |
L(r)(E,1)/r! |
Ω |
0.66921527656589 |
Real period |
R |
2.3760477108014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280k5 121680bh6 240a5 |
Quadratic twists by: -4 -3 13 |