Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23232d |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
588791808 = 214 · 33 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-337,-1967] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:16:1] |
Generators of the group modulo torsion |
j |
194672/27 |
j-invariant |
L |
4.3300899680215 |
L(r)(E,1)/r! |
Ω |
1.1242577995634 |
Real period |
R |
1.9257549156889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232dh1 2904l1 69696be1 23232c1 |
Quadratic twists by: -4 8 -3 -11 |