Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600l |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
787212562500000000 = 28 · 32 · 512 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2112908,1182073812] |
[a1,a2,a3,a4,a6] |
Generators |
[-1418:36400:1] |
Generators of the group modulo torsion |
j |
260798860029250384/196803140625 |
j-invariant |
L |
5.7409082367437 |
L(r)(E,1)/r! |
Ω |
0.28095082872623 |
Real period |
R |
2.5542317595212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999533 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
109200bs2 10920o2 |
Quadratic twists by: -4 5 |