Atkin-Lehner |
2- 3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550ce |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-797128695000 = -1 · 23 · 38 · 54 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2037,-24183] |
[a1,a2,a3,a4,a6] |
Generators |
[72:669:1] |
Generators of the group modulo torsion |
j |
1495558675775/1275405912 |
j-invariant |
L |
12.853780522457 |
L(r)(E,1)/r! |
Ω |
0.49369828903044 |
Real period |
R |
0.18080347188989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550f1 |
Quadratic twists by: 5 |