Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ft |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
94907739340800 = 216 · 32 · 52 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -3 7 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11873,-164223] |
[a1,a2,a3,a4,a6] |
j |
112985250820/57927087 |
j-invariant |
L |
1.9329906410038 |
L(r)(E,1)/r! |
Ω |
0.48324778735277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ef1 27600u1 110400jr1 |
Quadratic twists by: -4 8 5 |