Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360dx |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-2505630000 = -1 · 24 · 3 · 54 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,3650] |
[a1,a2,a3,a4,a6] |
Generators |
[10:30:1] |
Generators of the group modulo torsion |
j |
-4734976/1875 |
j-invariant |
L |
9.3314706738304 |
L(r)(E,1)/r! |
Ω |
1.3581227821509 |
Real period |
R |
1.717714848132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340i1 69360cj1 |
Quadratic twists by: -4 17 |