Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96900bf |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1258276781250000 = 24 · 38 · 59 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30533,-1152312] |
[a1,a2,a3,a4,a6] |
Generators |
[388:6750:1] |
Generators of the group modulo torsion |
j |
12592337649664/5033107125 |
j-invariant |
L |
7.7538449532798 |
L(r)(E,1)/r! |
Ω |
0.37385886855245 |
Real period |
R |
1.2962520074882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380d1 |
Quadratic twists by: 5 |