Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680f |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
780446696400 = 24 · 39 · 52 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2322,6939] |
[a1,a2,a3,a4,a6] |
Generators |
[343:6290:1] |
Generators of the group modulo torsion |
j |
4396419072/2478175 |
j-invariant |
L |
5.6799550699976 |
L(r)(E,1)/r! |
Ω |
0.77303892673618 |
Real period |
R |
3.6737833438577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840bi1 85680a1 |
Quadratic twists by: -4 -3 |