Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770r |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-265829990400 = -1 · 214 · 33 · 52 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9166,334859] |
[a1,a2,a3,a4,a6] |
Generators |
[49:55:1] |
Generators of the group modulo torsion |
j |
-85165996468490209/265829990400 |
j-invariant |
L |
6.8489048630651 |
L(r)(E,1)/r! |
Ω |
0.98445971192736 |
Real period |
R |
0.49692992439596 |
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 |
50310y1 83850s1 |
Quadratic twists by: -3 5 |