Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342c |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-1.9047935412208E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 5 1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18849819,32196867877] |
[a1,a2,a3,a4,a6] |
Generators |
[805268:85148573:64] |
Generators of the group modulo torsion |
j |
-233181060948366864507/5996473317588992 |
j-invariant |
L |
4.7426078558605 |
L(r)(E,1)/r! |
Ω |
0.12190334419478 |
Real period |
R |
9.7261643788108 |
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 |
27342y1 3906a1 |
Quadratic twists by: -3 -7 |