Atkin-Lehner |
2+ 3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550g |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-3018896179200000000 = -1 · 224 · 34 · 58 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-233150,-94255500] |
[a1,a2,a3,a4,a6] |
Generators |
[44605236:-763946906:59319] |
Generators of the group modulo torsion |
j |
-89704216226900449/193209355468800 |
j-invariant |
L |
3.649376369302 |
L(r)(E,1)/r! |
Ω |
0.10178566098157 |
Real period |
R |
8.9633852493192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510p1 |
Quadratic twists by: 5 |