Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024cc |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
166246372196352 = 214 · 32 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-115264,-15011072] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:98:1] |
Generators of the group modulo torsion |
j |
351447414193/344988 |
j-invariant |
L |
2.448379548872 |
L(r)(E,1)/r! |
Ω |
0.25912028557989 |
Real period |
R |
1.1811018321357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10878bq2 12432bv2 |
Quadratic twists by: -4 -7 |