Atkin-Lehner |
5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
123725n |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-77328125 = -1 · 56 · 72 · 101 |
Discriminant |
Eigenvalues |
1 1 5+ 7- 4 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-726,7473] |
[a1,a2,a3,a4,a6] |
Generators |
[1044:-121:64] |
Generators of the group modulo torsion |
j |
-55164193/101 |
j-invariant |
L |
9.3429244404657 |
L(r)(E,1)/r! |
Ω |
1.9341059133446 |
Real period |
R |
4.8306167312117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059433 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4949f1 123725a1 |
Quadratic twists by: 5 -7 |