Atkin-Lehner |
2+ 5+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
108290k |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-3867563813750 = -1 · 2 · 54 · 77 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -5 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3554,-125198] |
[a1,a2,a3,a4,a6] |
Generators |
[76:174:1] |
Generators of the group modulo torsion |
j |
-42180533641/32873750 |
j-invariant |
L |
4.0965632713421 |
L(r)(E,1)/r! |
Ω |
0.29913356114176 |
Real period |
R |
1.7118453913076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15470d1 |
Quadratic twists by: -7 |