Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184k |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-223906249728 = -1 · 210 · 310 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1149,-17134] |
[a1,a2,a3,a4,a6] |
Generators |
[49:396:1] |
Generators of the group modulo torsion |
j |
224727548/299943 |
j-invariant |
L |
4.510483385983 |
L(r)(E,1)/r! |
Ω |
0.53029733807633 |
Real period |
R |
2.1263935636302 |
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 |
11592r1 92736eo1 7728a1 |
Quadratic twists by: -4 8 -3 |