Atkin-Lehner |
3- 7+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
49203b |
Isogeny class |
Conductor |
49203 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-35868987 = -1 · 38 · 7 · 11 · 71 |
Discriminant |
Eigenvalues |
-2 3- 2 7+ 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,51,-252] |
[a1,a2,a3,a4,a6] |
Generators |
[11:40:1] |
Generators of the group modulo torsion |
j |
20123648/49203 |
j-invariant |
L |
3.5641182668926 |
L(r)(E,1)/r! |
Ω |
1.0646884404288 |
Real period |
R |
1.6737846169734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16401d1 |
Quadratic twists by: -3 |