Atkin-Lehner |
5+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16835c |
Isogeny class |
Conductor |
16835 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
163578066640625 = 57 · 76 · 13 · 372 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16928,-590197] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:1499:8] |
Generators of the group modulo torsion |
j |
536513617074016009/163578066640625 |
j-invariant |
L |
7.8622055766945 |
L(r)(E,1)/r! |
Ω |
0.42846888753759 |
Real period |
R |
6.1165122333453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84175b1 117845p1 |
Quadratic twists by: 5 -7 |