Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4896d |
Isogeny class |
Conductor |
4896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
793152 = 26 · 36 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45,108] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
216000/17 |
j-invariant |
L |
3.9664710876575 |
L(r)(E,1)/r! |
Ω |
2.7679303871335 |
Real period |
R |
1.4330096978216 |
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 |
4896q1 9792s1 544d1 122400dc1 |
Quadratic twists by: -4 8 -3 5 |