Atkin-Lehner |
2+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58136b |
Isogeny class |
Conductor |
58136 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
147264 |
Modular degree for the optimal curve |
Δ |
-35918255107072 = -1 · 210 · 138 · 43 |
Discriminant |
Eigenvalues |
2+ 0 4 -2 -3 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2197,-285610] |
[a1,a2,a3,a4,a6] |
Generators |
[55:40:1] |
Generators of the group modulo torsion |
j |
1404/43 |
j-invariant |
L |
6.8352328637344 |
L(r)(E,1)/r! |
Ω |
0.31431353475957 |
Real period |
R |
3.6244238675984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116272f1 58136i1 |
Quadratic twists by: -4 13 |