Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024ca |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-9.5919057669348E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-702725,523154409] |
[a1,a2,a3,a4,a6] |
Generators |
[1745:67878:1] |
Generators of the group modulo torsion |
j |
-1274243237085184/3184759913139 |
j-invariant |
L |
6.4288981022535 |
L(r)(E,1)/r! |
Ω |
0.16790368156321 |
Real period |
R |
4.7861503369107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21756m1 12432bu1 |
Quadratic twists by: -4 -7 |