Atkin-Lehner |
2+ 3- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
6474h |
Isogeny class |
Conductor |
6474 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1398384 = -1 · 24 · 34 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10,56] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] |
Generators of the group modulo torsion |
j |
127263527/1398384 |
j-invariant |
L |
3.9146838430765 |
L(r)(E,1)/r! |
Ω |
1.9892884054923 |
Real period |
R |
0.98394074792484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51792g1 19422o1 84162v1 |
Quadratic twists by: -4 -3 13 |