Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cb |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5351634489600 = 28 · 310 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4647,-49786] |
[a1,a2,a3,a4,a6] |
Generators |
[313:5400:1] |
Generators of the group modulo torsion |
j |
59466754384/28676025 |
j-invariant |
L |
7.8981874368187 |
L(r)(E,1)/r! |
Ω |
0.60673810501618 |
Real period |
R |
3.2543643507558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999974 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840w2 28560e2 |
Quadratic twists by: -4 -3 |