Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450b |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
-50983170062500 = -1 · 22 · 56 · 138 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3433,333841] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:359:1] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
2.5826199171407 |
L(r)(E,1)/r! |
Ω |
0.46661654707978 |
Real period |
R |
0.92246332786648 |
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 |
67600bj1 76050fc1 338b1 8450o1 |
Quadratic twists by: -4 -3 5 13 |