Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763q |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-21761275683 = -1 · 3 · 72 · 236 |
Discriminant |
Eigenvalues |
2 3+ -2 7- 2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1234,18549] |
[a1,a2,a3,a4,a6] |
Generators |
[3246:12059:216] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
8.759243838491 |
L(r)(E,1)/r! |
Ω |
1.1772979353876 |
Real period |
R |
3.7200625140831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77763ba1 147c1 |
Quadratic twists by: -7 -23 |