Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ju |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-918000000000 = -1 · 210 · 33 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -1 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-72833,7541463] |
[a1,a2,a3,a4,a6] |
Generators |
[58:1875:1] |
Generators of the group modulo torsion |
j |
-21364083968/459 |
j-invariant |
L |
9.2608236373481 |
L(r)(E,1)/r! |
Ω |
0.81663406692977 |
Real period |
R |
1.8900394539458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001887 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600cd1 20400s1 81600he1 |
Quadratic twists by: -4 8 5 |