Atkin-Lehner |
11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4961a |
Isogeny class |
Conductor |
4961 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-54571 = -1 · 113 · 41 |
Discriminant |
Eigenvalues |
-1 2 -3 3 11+ -2 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
2197/41 |
j-invariant |
L |
2.9979585869993 |
L(r)(E,1)/r! |
Ω |
1.7224079193343 |
Real period |
R |
0.87028123632814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79376n1 44649f1 124025a1 4961b1 |
Quadratic twists by: -4 -3 5 -11 |