Atkin-Lehner |
2- 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590br |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-2231644171410000 = -1 · 24 · 310 · 54 · 194 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7042,2259677] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:937:1] [15:-1547:1] |
Generators of the group modulo torsion |
j |
52983673067879/3061240290000 |
j-invariant |
L |
11.746996580976 |
L(r)(E,1)/r! |
Ω |
0.35155648888078 |
Real period |
R |
1.0441953278241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530r4 |
Quadratic twists by: -3 |