Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600bx |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-12377930112000 = -1 · 210 · 39 · 53 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 1 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1313,170697] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:425:1] |
Generators of the group modulo torsion |
j |
-1957215488/96702579 |
j-invariant |
L |
6.3641705966782 |
L(r)(E,1)/r! |
Ω |
0.59035726452341 |
Real period |
R |
1.7967003424368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600jq1 10200bq1 81600ei1 |
Quadratic twists by: -4 8 5 |