Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550bb |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
869505000000 = 26 · 3 · 57 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8775,-316875] |
[a1,a2,a3,a4,a6] |
j |
13945313143/162240 |
j-invariant |
L |
1.9744527955012 |
L(r)(E,1)/r! |
Ω |
0.49361317420236 |
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 |
19110cw1 95550et1 |
Quadratic twists by: 5 -7 |