Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1216c |
Isogeny class |
Conductor |
1216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-2490368 = -1 · 217 · 19 |
Discriminant |
Eigenvalues |
2+ -1 0 3 -2 -1 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,-95] |
[a1,a2,a3,a4,a6] |
Generators |
[9:16:1] |
Generators of the group modulo torsion |
j |
-31250/19 |
j-invariant |
L |
2.32925389543 |
L(r)(E,1)/r! |
Ω |
0.9666610835301 |
Real period |
R |
0.6023967280559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1216p1 152b1 10944m1 30400e1 |
Quadratic twists by: -4 8 -3 5 |