Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312by |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-13647872 = -1 · 214 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 1 0 7- -5 -5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,-113] |
[a1,a2,a3,a4,a6] |
Generators |
[3:8:1] [69:580:1] |
Generators of the group modulo torsion |
j |
14000/17 |
j-invariant |
L |
10.761170101556 |
L(r)(E,1)/r! |
Ω |
1.1978939966148 |
Real period |
R |
2.245851914269 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312u1 13328s1 53312bi1 |
Quadratic twists by: -4 8 -7 |