Atkin-Lehner |
2+ 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550i |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
11182080 |
Modular degree for the optimal curve |
Δ |
-2.7894560158872E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9079075,27502202125] |
[a1,a2,a3,a4,a6] |
Generators |
[-521:179401:1] |
Generators of the group modulo torsion |
j |
-8475172660787135425/28564029602684928 |
j-invariant |
L |
4.9081615428606 |
L(r)(E,1)/r! |
Ω |
0.085629109758712 |
Real period |
R |
2.0471015537729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002188 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550cg1 |
Quadratic twists by: 5 |