Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680t |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313600 |
Modular degree for the optimal curve |
Δ |
-97161120000000 = -1 · 211 · 36 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16803,-963198] |
[a1,a2,a3,a4,a6] |
Generators |
[41334:363293:216] |
Generators of the group modulo torsion |
j |
-351420193602/65078125 |
j-invariant |
L |
6.8114531726831 |
L(r)(E,1)/r! |
Ω |
0.20757751128094 |
Real period |
R |
8.2035056835212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42840u1 9520c1 |
Quadratic twists by: -4 -3 |