Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390da |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
1200 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-16924514544000000 = -1 · 210 · 35 · 56 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-56155,8083025] |
[a1,a2,a3,a4,a6] |
Generators |
[410:-7555:1] |
Generators of the group modulo torsion |
j |
-166456688365729/143856000000 |
j-invariant |
L |
12.367931620027 |
L(r)(E,1)/r! |
Ω |
0.3569799344614 |
Real period |
R |
0.11548671158669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1110i1 |
Quadratic twists by: -7 |