Atkin-Lehner |
2- 3- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20394w |
Isogeny class |
Conductor |
20394 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-15699790656 = -1 · 26 · 39 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11+ -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1634,26529] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:225:1] [-31:231:1] |
Generators of the group modulo torsion |
j |
-661459323097/21536064 |
j-invariant |
L |
8.455461975571 |
L(r)(E,1)/r! |
Ω |
1.2353695901199 |
Real period |
R |
0.14259332529571 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798f1 |
Quadratic twists by: -3 |