Atkin-Lehner |
2- 3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
123900r |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
431752781250000 = 24 · 34 · 59 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-167833,26501662] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:7250:1] [226:252:1] |
Generators of the group modulo torsion |
j |
16730478067712/13816089 |
j-invariant |
L |
9.7089547790566 |
L(r)(E,1)/r! |
Ω |
0.52582944738839 |
Real period |
R |
4.6160189505617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123900bh1 |
Quadratic twists by: 5 |