Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7038d |
Isogeny class |
Conductor |
7038 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-16675684503552 = -1 · 212 · 39 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -3 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19152,1043712] |
[a1,a2,a3,a4,a6] |
Generators |
[96:240:1] |
Generators of the group modulo torsion |
j |
-1065740176698625/22874738688 |
j-invariant |
L |
3.3000220711209 |
L(r)(E,1)/r! |
Ω |
0.69442176946257 |
Real period |
R |
1.1880467376746 |
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 |
56304bu1 2346k1 119646u1 |
Quadratic twists by: -4 -3 17 |