Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024dz |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
908629125887559888 = 24 · 34 · 712 · 373 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-877753,-313476598] |
[a1,a2,a3,a4,a6] |
Generators |
[-4646:6909:8] |
Generators of the group modulo torsion |
j |
39731316127744000/482701258557 |
j-invariant |
L |
8.5753881752659 |
L(r)(E,1)/r! |
Ω |
0.1560901414599 |
Real period |
R |
4.5782243179861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21756g3 12432bd3 |
Quadratic twists by: -4 -7 |