Atkin-Lehner |
2- 3- 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990t |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-335060250624000 = -1 · 215 · 36 · 53 · 11 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105473,13240081] |
[a1,a2,a3,a4,a6] |
Generators |
[311:3076:1] |
Generators of the group modulo torsion |
j |
-177998449962946761/459616256000 |
j-invariant |
L |
11.616204071276 |
L(r)(E,1)/r! |
Ω |
0.54250774926202 |
Real period |
R |
0.71373506125765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110f1 |
Quadratic twists by: -3 |