Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950dn |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
-367571891194750 = -1 · 2 · 53 · 118 · 193 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11- 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17885,-61663] |
[a1,a2,a3,a4,a6] |
Generators |
[2422:44765:8] |
Generators of the group modulo torsion |
j |
23613579/13718 |
j-invariant |
L |
7.7704131928099 |
L(r)(E,1)/r! |
Ω |
0.31794168569392 |
Real period |
R |
1.3577635210265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999808632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950bs1 114950bm1 |
Quadratic twists by: 5 -11 |