Atkin-Lehner |
2- 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17112h |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
787152 = 24 · 3 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:21:1] |
Generators of the group modulo torsion |
j |
87808000/49197 |
j-invariant |
L |
4.7667781070618 |
L(r)(E,1)/r! |
Ω |
2.3345954998563 |
Real period |
R |
2.0418004349598 |
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 |
34224m1 51336k1 |
Quadratic twists by: -4 -3 |