Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050bl |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1929811031423437500 = -1 · 22 · 39 · 58 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,151308,62842716] |
[a1,a2,a3,a4,a6] |
j |
6967871/35100 |
j-invariant |
L |
3.0255854336432 |
L(r)(E,1)/r! |
Ω |
0.18909908962497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350cw1 15210bh1 5850br1 |
Quadratic twists by: -3 5 13 |