Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109820a |
Isogeny class |
Conductor |
109820 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
652800 |
Modular degree for the optimal curve |
Δ |
-180253572275440 = -1 · 24 · 5 · 179 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 4 -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-135926,19254229] |
[a1,a2,a3,a4,a6] |
Generators |
[257:1167:1] [385:4913:1] |
Generators of the group modulo torsion |
j |
-146377472/95 |
j-invariant |
L |
7.1140559694519 |
L(r)(E,1)/r! |
Ω |
0.5638194913673 |
Real period |
R |
6.3088063461289 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109820h1 |
Quadratic twists by: 17 |