Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704cf |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-5674993975296 = -1 · 228 · 36 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 2 3 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2868,98192] |
[a1,a2,a3,a4,a6] |
Generators |
[722:19456:1] |
Generators of the group modulo torsion |
j |
13651919/29696 |
j-invariant |
L |
5.9367203497201 |
L(r)(E,1)/r! |
Ω |
0.52725649924091 |
Real period |
R |
2.8149109391099 |
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 |
16704r1 4176bc1 1856l1 |
Quadratic twists by: -4 8 -3 |