Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
87204d |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1477440 |
Modular degree for the optimal curve |
Δ |
-783579708016964352 = -1 · 28 · 36 · 134 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -3 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35603,42498793] |
[a1,a2,a3,a4,a6] |
j |
682586857472/107169154947 |
j-invariant |
L |
0.43673930917461 |
L(r)(E,1)/r! |
Ω |
0.21836962285436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87204f1 |
Quadratic twists by: 13 |