Atkin-Lehner |
2+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51262a |
Isogeny class |
Conductor |
51262 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
352944 |
Modular degree for the optimal curve |
Δ |
-77173310458304 = -1 · 26 · 198 · 71 |
Discriminant |
Eigenvalues |
2+ -3 -1 4 -2 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9860,188944] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:172:1] |
Generators of the group modulo torsion |
j |
6241671/4544 |
j-invariant |
L |
2.8144791890367 |
L(r)(E,1)/r! |
Ω |
0.38915445247899 |
Real period |
R |
3.6161467140265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995569 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51262k1 |
Quadratic twists by: -19 |