Atkin-Lehner |
2+ 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87248f |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
549888 |
Modular degree for the optimal curve |
Δ |
-6439131338752 = -1 · 211 · 74 · 19 · 413 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 1 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2800355,1803714306] |
[a1,a2,a3,a4,a6] |
Generators |
[957:492:1] |
Generators of the group modulo torsion |
j |
-1185858935567355899250/3144107099 |
j-invariant |
L |
5.2194476904332 |
L(r)(E,1)/r! |
Ω |
0.49512028286786 |
Real period |
R |
0.43924071470634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43624d1 |
Quadratic twists by: -4 |