Atkin-Lehner |
2- 3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550cg |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
728 |
Product of Tamagawa factors cp |
deg |
2236416 |
Modular degree for the optimal curve |
Δ |
-1.7852518501678E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363163,220017617] |
[a1,a2,a3,a4,a6] |
Generators |
[206:-12511:1] |
Generators of the group modulo torsion |
j |
-8475172660787135425/28564029602684928 |
j-invariant |
L |
10.753267522074 |
L(r)(E,1)/r! |
Ω |
0.19147251027327 |
Real period |
R |
0.07714408636508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550i1 |
Quadratic twists by: 5 |