Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
49840v |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15579808563200 = 215 · 52 · 74 · 892 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18520,-945168] |
[a1,a2,a3,a4,a6] |
Generators |
[714:18690:1] |
Generators of the group modulo torsion |
j |
171518180523481/3803664200 |
j-invariant |
L |
9.6133677902678 |
L(r)(E,1)/r! |
Ω |
0.40980146724055 |
Real period |
R |
2.9323247226821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6230d2 |
Quadratic twists by: -4 |