Atkin-Lehner |
3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49011f |
Isogeny class |
Conductor |
49011 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
295200 |
Modular degree for the optimal curve |
Δ |
-106212688276257 = -1 · 34 · 175 · 314 |
Discriminant |
Eigenvalues |
1 3- 2 5 3 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-105250,13143089] |
[a1,a2,a3,a4,a6] |
j |
-139616683918873/115008417 |
j-invariant |
L |
7.0919090113572 |
L(r)(E,1)/r! |
Ω |
0.59099241767637 |
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 |
49011c1 |
Quadratic twists by: -31 |