Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096de |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
2280960 |
Modular degree for the optimal curve |
Δ |
-3.680684347142E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23446173,43690607127] |
[a1,a2,a3,a4,a6] |
Generators |
[2571:20286:1] |
Generators of the group modulo torsion |
j |
-47327266415721472000/1222082060283 |
j-invariant |
L |
7.111892579728 |
L(r)(E,1)/r! |
Ω |
0.19078540206737 |
Real period |
R |
0.20709401192997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13524e1 7728i1 |
Quadratic twists by: -4 -7 |