Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024ej |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4709448012374784 = -1 · 28 · 32 · 79 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31491,-2494521] |
[a1,a2,a3,a4,a6] |
Generators |
[135:2058:1] |
Generators of the group modulo torsion |
j |
114667692032/156365811 |
j-invariant |
L |
10.379143547908 |
L(r)(E,1)/r! |
Ω |
0.23104806092951 |
Real period |
R |
0.93587523057758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21756i2 12432be2 |
Quadratic twists by: -4 -7 |