Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024eb |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-401006592 = -1 · 213 · 33 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,152,692] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
1922375/1998 |
j-invariant |
L |
8.13150300828 |
L(r)(E,1)/r! |
Ω |
1.1140620308991 |
Real period |
R |
1.216494650333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10878i1 87024bu1 |
Quadratic twists by: -4 -7 |