Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
23400l |
Isogeny class |
Conductor |
23400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2549711093231250000 = 24 · 322 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-516450,120436625] |
[a1,a2,a3,a4,a6] |
j |
83587439220736/13990184325 |
j-invariant |
L |
0.98095885783419 |
L(r)(E,1)/r! |
Ω |
0.24523971445856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800v1 7800n1 4680q1 |
Quadratic twists by: -4 -3 5 |