Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920ba |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-24800000000000 = -1 · 214 · 511 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- 0 0 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28805,1906525] |
[a1,a2,a3,a4,a6] |
Generators |
[60:625:1] |
Generators of the group modulo torsion |
j |
-161332732109824/1513671875 |
j-invariant |
L |
3.9119492907052 |
L(r)(E,1)/r! |
Ω |
0.67523182466513 |
Real period |
R |
0.52668097194151 |
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 |
9920m1 2480b1 89280ea1 49600bo1 |
Quadratic twists by: -4 8 -3 5 |