Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98192l |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.8060903170195E+19 |
Discriminant |
Eigenvalues |
2- 0 4 2 -4 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492043,-389934150] |
[a1,a2,a3,a4,a6] |
Generators |
[25196395309835111235:-1015768166635012755754:12761229204694125] |
Generators of the group modulo torsion |
j |
-68367756969/301302152 |
j-invariant |
L |
8.5030576072718 |
L(r)(E,1)/r! |
Ω |
0.081869048936321 |
Real period |
R |
25.965421957233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12274m2 5168d2 |
Quadratic twists by: -4 -19 |