Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25480d |
Isogeny class |
Conductor |
25480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4453720544000000 = 211 · 56 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41176,-196176] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:98:1] |
Generators of the group modulo torsion |
j |
32044133522/18484375 |
j-invariant |
L |
2.4607978238578 |
L(r)(E,1)/r! |
Ω |
0.36546202139563 |
Real period |
R |
3.366694320877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50960g2 127400bq2 3640f2 |
Quadratic twists by: -4 5 -7 |