Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bu |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-9782083584 = -1 · 214 · 38 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -6 13- -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1461,22509] |
[a1,a2,a3,a4,a6] |
Generators |
[12:81:1] |
Generators of the group modulo torsion |
j |
-21064523776/597051 |
j-invariant |
L |
2.8441631378936 |
L(r)(E,1)/r! |
Ω |
1.2872335258958 |
Real period |
R |
1.1047580259045 |
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 |
17472bi1 4368u1 52416fd1 122304hc1 |
Quadratic twists by: -4 8 -3 -7 |