Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900h |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
48908955060000000 = 28 · 35 · 57 · 72 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 5 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-541133,-152665863] |
[a1,a2,a3,a4,a6] |
Generators |
[-437:406:1] |
Generators of the group modulo torsion |
j |
4381033575325696/12227238765 |
j-invariant |
L |
7.2824562485598 |
L(r)(E,1)/r! |
Ω |
0.17605417859599 |
Real period |
R |
3.4470715343384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24780m1 |
Quadratic twists by: 5 |