Atkin-Lehner |
2+ 3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550k |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2956800 |
Modular degree for the optimal curve |
Δ |
3.3803908832821E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1167655,396505525] |
[a1,a2,a3,a4,a6] |
j |
1408503434548327546157/270431270662569984 |
j-invariant |
L |
1.5728350817107 |
L(r)(E,1)/r! |
Ω |
0.19660437930899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77550cc1 |
Quadratic twists by: 5 |