Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840bf |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-34311682736640 = -1 · 29 · 310 · 5 · 613 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35283,-2566438] |
[a1,a2,a3,a4,a6] |
Generators |
[11071862:523714644:4913] |
Generators of the group modulo torsion |
j |
-13014357632648/91927305 |
j-invariant |
L |
4.2950582094324 |
L(r)(E,1)/r! |
Ω |
0.17409846466779 |
Real period |
R |
12.335140978059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840i1 29280h1 |
Quadratic twists by: -4 -3 |