Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6627h |
Isogeny class |
Conductor |
6627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
1519869361389 = 3 · 477 |
Discriminant |
Eigenvalues |
2 3- 1 -3 -1 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-58170,5380367] |
[a1,a2,a3,a4,a6] |
Generators |
[970:2819:8] |
Generators of the group modulo torsion |
j |
2019487744/141 |
j-invariant |
L |
8.8710717666959 |
L(r)(E,1)/r! |
Ω |
0.80618016891568 |
Real period |
R |
5.5019163883847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106032r1 19881o1 141e1 |
Quadratic twists by: -4 -3 -47 |