Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23104f |
Isogeny class |
Conductor |
23104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
-556517393727488 = -1 · 215 · 198 |
Discriminant |
Eigenvalues |
2+ 3 -2 2 -3 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27436,-2085136] |
[a1,a2,a3,a4,a6] |
Generators |
[19900831006797:508511926571221:28568426193] |
Generators of the group modulo torsion |
j |
-4104 |
j-invariant |
L |
8.3245135250352 |
L(r)(E,1)/r! |
Ω |
0.18312195138626 |
Real period |
R |
22.729425560447 |
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 |
23104h1 11552r1 23104w1 |
Quadratic twists by: -4 8 -19 |