Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038br |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
-1.8408878186757E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,117076,652576047] |
[a1,a2,a3,a4,a6] |
Generators |
[1241:-52659:1] |
Generators of the group modulo torsion |
j |
2069259936407/2146404427776 |
j-invariant |
L |
7.5546937582177 |
L(r)(E,1)/r! |
Ω |
0.14054563753886 |
Real period |
R |
0.20360834200817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17346e1 7434h1 |
Quadratic twists by: -3 -7 |