Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390co |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
-626833872000 = -1 · 27 · 32 · 53 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6371,-199935] |
[a1,a2,a3,a4,a6] |
j |
-243087455521/5328000 |
j-invariant |
L |
3.7357858064458 |
L(r)(E,1)/r! |
Ω |
0.26684184354441 |
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 |
1110j1 |
Quadratic twists by: -7 |