Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dv |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-179709207552000 = -1 · 213 · 36 · 53 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6123,-670822] |
[a1,a2,a3,a4,a6] |
Generators |
[898:1897:8] |
Generators of the group modulo torsion |
j |
-8502154921/60184250 |
j-invariant |
L |
5.3470651285274 |
L(r)(E,1)/r! |
Ω |
0.23932309948856 |
Real period |
R |
5.5856132797169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10710bf1 9520l1 |
Quadratic twists by: -4 -3 |