Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024cg |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
39739392 |
Modular degree for the optimal curve |
Δ |
-4.4280565968225E+25 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,84132984,119452551408] |
[a1,a2,a3,a4,a6] |
Generators |
[126541898706158926836:72293867095613506191360:388010687960953] |
Generators of the group modulo torsion |
j |
398455913564467793/267898853523456 |
j-invariant |
L |
8.1850263385794 |
L(r)(E,1)/r! |
Ω |
0.040262062751291 |
Real period |
R |
25.411720668073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10878p1 87024dw1 |
Quadratic twists by: -4 -7 |