Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024cw |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
155947008 = 212 · 3 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296,1968] |
[a1,a2,a3,a4,a6] |
j |
2048383/111 |
j-invariant |
L |
3.5946939562313 |
L(r)(E,1)/r! |
Ω |
1.7973469541353 |
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 |
5439g1 87024em1 |
Quadratic twists by: -4 -7 |