Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360bk |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-238857645484800 = -1 · 28 · 317 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -4 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30900,-2229300] |
[a1,a2,a3,a4,a6] |
Generators |
[330:4860:1] |
Generators of the group modulo torsion |
j |
-44103737752144/3228504075 |
j-invariant |
L |
8.4808719067589 |
L(r)(E,1)/r! |
Ω |
0.17928913784606 |
Real period |
R |
0.69562889314551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680h1 69360l1 |
Quadratic twists by: -4 17 |