Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640cl |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
-15659827200 = -1 · 217 · 34 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 3 -1 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1185,17217] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:180:1] [-3:144:1] |
Generators of the group modulo torsion |
j |
-1405190738/119475 |
j-invariant |
L |
8.2292504655738 |
L(r)(E,1)/r! |
Ω |
1.2155947617363 |
Real period |
R |
0.4231082349876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640bh1 14160f1 |
Quadratic twists by: -4 8 |