Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27900p |
Isogeny class |
Conductor |
27900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
640535208480000 = 28 · 317 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 3 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98400,11818100] |
[a1,a2,a3,a4,a6] |
j |
903361331200/5491557 |
j-invariant |
L |
3.0916054589931 |
L(r)(E,1)/r! |
Ω |
0.51526757649878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600gi1 9300g1 27900b1 |
Quadratic twists by: -4 -3 5 |