Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550bg |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-1472238281250000 = -1 · 24 · 36 · 512 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ 7 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51438,4833531] |
[a1,a2,a3,a4,a6] |
Generators |
[115:-733:1] |
Generators of the group modulo torsion |
j |
-963288634285081/94223250000 |
j-invariant |
L |
9.5642080848061 |
L(r)(E,1)/r! |
Ω |
0.46668843795593 |
Real period |
R |
1.2808609700442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15510i1 |
Quadratic twists by: 5 |