Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17238m |
Isogeny class |
Conductor |
17238 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-485248839616944 = -1 · 24 · 37 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -5 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-268629,-53711637] |
[a1,a2,a3,a4,a6] |
Generators |
[3500174661:166373503468:1442897] |
Generators of the group modulo torsion |
j |
-2628062448817/594864 |
j-invariant |
L |
7.0650360858048 |
L(r)(E,1)/r! |
Ω |
0.10485168869689 |
Real period |
R |
16.845308295961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51714e1 17238c1 |
Quadratic twists by: -3 13 |