Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fc |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4214412160560 = -1 · 24 · 312 · 5 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3768,42779] |
[a1,a2,a3,a4,a6] |
Generators |
[241033:2928420:2197] |
Generators of the group modulo torsion |
j |
507234615296/361317915 |
j-invariant |
L |
7.5334829475449 |
L(r)(E,1)/r! |
Ω |
0.49430899400958 |
Real period |
R |
7.6202163445741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420z1 28560cc1 |
Quadratic twists by: -4 -3 |