Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024t |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2081417778512335872 = 210 · 34 · 714 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-391624,64006720] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:10584:1] |
Generators of the group modulo torsion |
j |
55137176303332/17277108597 |
j-invariant |
L |
4.8579526558289 |
L(r)(E,1)/r! |
Ω |
0.24169986304921 |
Real period |
R |
2.5123890220374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43512bn3 12432t4 |
Quadratic twists by: -4 -7 |