Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ee |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
225549095259600 = 24 · 39 · 52 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23448,-1178053] |
[a1,a2,a3,a4,a6] |
j |
122234448510976/19337199525 |
j-invariant |
L |
2.3395665314142 |
L(r)(E,1)/r! |
Ω |
0.3899277627224 |
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 |
21420j1 28560db1 |
Quadratic twists by: -4 -3 |