Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600jv |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
754636800000000 = 217 · 3 · 58 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72833,-7473537] |
[a1,a2,a3,a4,a6] |
Generators |
[783:20400:1] |
Generators of the group modulo torsion |
j |
834534530/14739 |
j-invariant |
L |
9.4636375496471 |
L(r)(E,1)/r! |
Ω |
0.29092594566497 |
Real period |
R |
0.90359359380391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600ce1 20400t1 81600fq1 |
Quadratic twists by: -4 8 5 |