Atkin-Lehner |
11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98549c |
Isogeny class |
Conductor |
98549 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1285632 |
Modular degree for the optimal curve |
Δ |
-16270675611173533 = -1 · 113 · 177 · 313 |
Discriminant |
Eigenvalues |
-1 0 -4 2 11+ 7 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-242092,-46196140] |
[a1,a2,a3,a4,a6] |
j |
-65008450849329/674080957 |
j-invariant |
L |
1.2905875124591 |
L(r)(E,1)/r! |
Ω |
0.10754894398939 |
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 |
5797b1 |
Quadratic twists by: 17 |