Atkin-Lehner |
2+ 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93840s |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-4370598000 = -1 · 24 · 35 · 53 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -3 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,84,3195] |
[a1,a2,a3,a4,a6] |
Generators |
[9:69:1] |
Generators of the group modulo torsion |
j |
4048192256/273162375 |
j-invariant |
L |
8.5407714152794 |
L(r)(E,1)/r! |
Ω |
1.0534640456887 |
Real period |
R |
0.81073212207547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46920d1 |
Quadratic twists by: -4 |