Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bd |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-266610113280 = -1 · 28 · 36 · 5 · 75 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16068,784348] |
[a1,a2,a3,a4,a6] |
Generators |
[41:441:1] |
Generators of the group modulo torsion |
j |
-2458338528256/1428595 |
j-invariant |
L |
7.4048780248085 |
L(r)(E,1)/r! |
Ω |
0.96901463312654 |
Real period |
R |
0.76416575897937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42840h1 9520e1 |
Quadratic twists by: -4 -3 |