Atkin-Lehner |
3+ 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175n |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2221056 |
Modular degree for the optimal curve |
Δ |
-33448805597158875 = -1 · 312 · 53 · 7 · 114 · 173 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 11- -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1072538,-427263772] |
[a1,a2,a3,a4,a6] |
Generators |
[1307:20047:1] |
Generators of the group modulo torsion |
j |
-1091571450927090348032/267590444777271 |
j-invariant |
L |
1.9618619572308 |
L(r)(E,1)/r! |
Ω |
0.074175411852653 |
Real period |
R |
1.6530595278824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98175bt1 |
Quadratic twists by: 5 |