Atkin-Lehner |
2+ 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16530j |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
625205329920 = 214 · 36 · 5 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2242,-15884] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:152:1] |
Generators of the group modulo torsion |
j |
1247191583175721/625205329920 |
j-invariant |
L |
3.5723074663165 |
L(r)(E,1)/r! |
Ω |
0.730993699458 |
Real period |
R |
2.4434598198078 |
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 |
49590bv1 82650cn1 |
Quadratic twists by: -3 5 |