Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684v |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3649536 |
Modular degree for the optimal curve |
Δ |
-1.2222777298584E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 2 -2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1904532,-1343841415] |
[a1,a2,a3,a4,a6] |
Generators |
[77630:1107351:125] |
Generators of the group modulo torsion |
j |
556740459216896/890705528307 |
j-invariant |
L |
8.2726430058013 |
L(r)(E,1)/r! |
Ω |
0.081002132672587 |
Real period |
R |
2.1276813782683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228i1 7812i1 |
Quadratic twists by: -3 -7 |