Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200a |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
21196800 = 212 · 32 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -5 -5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1473,22257] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-12:1] |
Generators of the group modulo torsion |
j |
3454035520/207 |
j-invariant |
L |
4.0140168931456 |
L(r)(E,1)/r! |
Ω |
2.0395738611939 |
Real period |
R |
0.2460083065358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200ck1 110400cy1 55200cv1 |
Quadratic twists by: -4 8 5 |