Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488t |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-776419026093568 = -1 · 29 · 11 · 1310 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10309,-1278654] |
[a1,a2,a3,a4,a6] |
Generators |
[3678:223140:1] |
Generators of the group modulo torsion |
j |
49027896/314171 |
j-invariant |
L |
2.0722255038431 |
L(r)(E,1)/r! |
Ω |
0.25185747693603 |
Real period |
R |
8.2277704388303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59488n2 118976bv3 4576a4 |
Quadratic twists by: -4 8 13 |