Atkin-Lehner |
2- 5- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116560w |
Isogeny class |
Conductor |
116560 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
426539520 |
Modular degree for the optimal curve |
Δ |
-5.428944801352E+32 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -2 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72338961107,7572142957832594] |
[a1,a2,a3,a4,a6] |
Generators |
[-881630807673:-456323545169920:4019679] |
Generators of the group modulo torsion |
j |
-10220698241677809252897665463685161/132542597689256859264247398400 |
j-invariant |
L |
5.6548318604228 |
L(r)(E,1)/r! |
Ω |
0.016488446996252 |
Real period |
R |
5.7159535775092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14570c1 |
Quadratic twists by: -4 |