Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960fu |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-11929412173824000 = -1 · 224 · 39 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14388,-5212784] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2295:1] |
Generators of the group modulo torsion |
j |
1723683599/62424000 |
j-invariant |
L |
6.3762449532924 |
L(r)(E,1)/r! |
Ω |
0.19322884771745 |
Real period |
R |
1.3749337958163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960da1 12240bs1 16320cl1 |
Quadratic twists by: -4 8 -3 |