Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
23360c |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-765460480 = -1 · 221 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 0 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-1601] |
[a1,a2,a3,a4,a6] |
Generators |
[35:192:1] |
Generators of the group modulo torsion |
j |
-1771561/2920 |
j-invariant |
L |
2.9963787245808 |
L(r)(E,1)/r! |
Ω |
0.63378295014099 |
Real period |
R |
1.1819419897278 |
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 |
23360p1 730e1 116800s1 |
Quadratic twists by: -4 8 5 |