Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840d |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-803736000 = -1 · 26 · 33 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3,-1364] |
[a1,a2,a3,a4,a6] |
Generators |
[12:20:1] [17:60:1] |
Generators of the group modulo torsion |
j |
1728/465125 |
j-invariant |
L |
10.38619313292 |
L(r)(E,1)/r! |
Ω |
0.73110609696424 |
Real period |
R |
2.3676894447402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840bc1 87840x1 |
Quadratic twists by: -4 -3 |