Atkin-Lehner |
5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
17395o |
Isogeny class |
Conductor |
17395 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
273408 |
Modular degree for the optimal curve |
Δ |
-1089525822875 = -1 · 53 · 73 · 714 |
Discriminant |
Eigenvalues |
-2 1 5- 7- -3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2658280,-1669090566] |
[a1,a2,a3,a4,a6] |
j |
-6056642320947873574912/3176460125 |
j-invariant |
L |
1.4188307953392 |
L(r)(E,1)/r! |
Ω |
0.0591179498058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86975t1 17395i1 |
Quadratic twists by: 5 -7 |