Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568c |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
81225792691610112 = 29 · 34 · 74 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24679464,47198412468] |
[a1,a2,a3,a4,a6] |
Generators |
[-5412:149058:1] |
Generators of the group modulo torsion |
j |
672668087746709384/32867289 |
j-invariant |
L |
2.7904101053287 |
L(r)(E,1)/r! |
Ω |
0.25594920571407 |
Real period |
R |
2.7255506314741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568bp4 8736s3 |
Quadratic twists by: -4 13 |