Atkin-Lehner |
5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
93925p |
Isogeny class |
Conductor |
93925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
35423768255078125 = 58 · 13 · 178 |
Discriminant |
Eigenvalues |
0 -3 5- 0 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-289000,59109531] |
[a1,a2,a3,a4,a6] |
Generators |
[221:2456:1] [425:-3613:1] |
Generators of the group modulo torsion |
j |
283115520/3757 |
j-invariant |
L |
5.448493932202 |
L(r)(E,1)/r! |
Ω |
0.36799172608124 |
Real period |
R |
1.2338352435783 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93925d1 5525h1 |
Quadratic twists by: 5 17 |