Atkin-Lehner |
2- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49126d |
Isogeny class |
Conductor |
49126 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-24757243996491776 = -1 · 212 · 76 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 11- 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15788,7532944] |
[a1,a2,a3,a4,a6] |
Generators |
[264:5356:1] |
Generators of the group modulo torsion |
j |
245667233447/13974818816 |
j-invariant |
L |
7.9173001402719 |
L(r)(E,1)/r! |
Ω |
0.28761210523981 |
Real period |
R |
1.146987556625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
406b2 |
Quadratic twists by: -11 |