Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200cz |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
16597975040000000 = 222 · 57 · 373 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8440033,9440471937] |
[a1,a2,a3,a4,a6] |
Generators |
[46749:103600:27] |
Generators of the group modulo torsion |
j |
16232905099479601/4052240 |
j-invariant |
L |
9.9520538525075 |
L(r)(E,1)/r! |
Ω |
0.31170426731366 |
Real period |
R |
2.6606559742651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200bf3 14800q3 11840z3 |
Quadratic twists by: -4 8 5 |