Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680df |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
9954677250000 = 24 · 39 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19332,-1023381] |
[a1,a2,a3,a4,a6] |
j |
2537130442752/31609375 |
j-invariant |
L |
2.4311336275223 |
L(r)(E,1)/r! |
Ω |
0.40518895091032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420f1 85680cx1 |
Quadratic twists by: -4 -3 |