Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024cj |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
359301906432 = 220 · 33 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -6 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2928,54720] |
[a1,a2,a3,a4,a6] |
j |
1976656375/255744 |
j-invariant |
L |
1.8433072703479 |
L(r)(E,1)/r! |
Ω |
0.92165365646544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10878bt1 87024ea1 |
Quadratic twists by: -4 -7 |