Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024cd |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2995430129664 = -1 · 215 · 3 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -2 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5504,179712] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:98:1] |
Generators of the group modulo torsion |
j |
-38272753/6216 |
j-invariant |
L |
6.9015933125751 |
L(r)(E,1)/r! |
Ω |
0.7725260965195 |
Real period |
R |
2.2334498912207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878br1 12432bp1 |
Quadratic twists by: -4 -7 |