Atkin-Lehner |
11+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6149a |
Isogeny class |
Conductor |
6149 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5472 |
Modular degree for the optimal curve |
Δ |
-276252759497 = -1 · 113 · 136 · 43 |
Discriminant |
Eigenvalues |
1 1 2 0 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2965,66829] |
[a1,a2,a3,a4,a6] |
Generators |
[5155:12739:125] |
Generators of the group modulo torsion |
j |
-2881291727232073/276252759497 |
j-invariant |
L |
6.0101998235844 |
L(r)(E,1)/r! |
Ω |
0.95450259089981 |
Real period |
R |
3.1483412831381 |
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 |
98384o1 55341e1 67639c1 79937d1 |
Quadratic twists by: -4 -3 -11 13 |