Atkin-Lehner |
2+ 3+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
91902f |
Isogeny class |
Conductor |
91902 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-149984064 = -1 · 26 · 32 · 173 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 -4 -7 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-133,781] |
[a1,a2,a3,a4,a6] |
Generators |
[1:25:1] [10:19:1] |
Generators of the group modulo torsion |
j |
-53582633/30528 |
j-invariant |
L |
5.1824358792541 |
L(r)(E,1)/r! |
Ω |
1.6970755742551 |
Real period |
R |
0.38171811247771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91902k1 |
Quadratic twists by: 17 |