Atkin-Lehner |
2- 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600bw |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-946080000 = -1 · 28 · 34 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 5 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2508,49212] |
[a1,a2,a3,a4,a6] |
Generators |
[33:36:1] |
Generators of the group modulo torsion |
j |
-10908360400/5913 |
j-invariant |
L |
5.1394413686234 |
L(r)(E,1)/r! |
Ω |
1.5490809518547 |
Real period |
R |
1.6588679126083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21900j1 87600cq1 |
Quadratic twists by: -4 5 |