Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024ch |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92736 |
Modular degree for the optimal curve |
Δ |
-32481533952 = -1 · 213 · 37 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 3 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-576,10368] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:120:1] |
Generators of the group modulo torsion |
j |
-105484561/161838 |
j-invariant |
L |
8.6051044058129 |
L(r)(E,1)/r! |
Ω |
1.0491973764036 |
Real period |
R |
2.0504017166194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878bs1 87024da1 |
Quadratic twists by: -4 -7 |