Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232cm |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-209088 = -1 · 26 · 33 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 11- -2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
45056/27 |
j-invariant |
L |
3.9770220208669 |
L(r)(E,1)/r! |
Ω |
1.9367755968357 |
Real period |
R |
0.68447475748946 |
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 |
23232df1 363b1 69696dn1 23232cl1 |
Quadratic twists by: -4 8 -3 -11 |