Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54096bo |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
-4.9105692785289E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11559704,18510958320] |
[a1,a2,a3,a4,a6] |
Generators |
[26:134946:1] |
Generators of the group modulo torsion |
j |
-354499561600764553/101902222098432 |
j-invariant |
L |
5.0217616542382 |
L(r)(E,1)/r! |
Ω |
0.10705306525994 |
Real period |
R |
2.9318179972456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6762t1 7728p1 |
Quadratic twists by: -4 -7 |