Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344t |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-212891328 = -1 · 26 · 39 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -3 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2106,-37206] |
[a1,a2,a3,a4,a6] |
Generators |
[2785:146953:1] |
Generators of the group modulo torsion |
j |
-4852224 |
j-invariant |
L |
5.5966816336167 |
L(r)(E,1)/r! |
Ω |
0.35237054467119 |
Real period |
R |
7.9414720321124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999691312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344s1 48672c1 97344m1 97344k1 |
Quadratic twists by: -4 8 -3 13 |