Atkin-Lehner |
2- 3+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624r |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
8738417147904 = 222 · 34 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 4 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5304,-41616] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:306:1] |
Generators of the group modulo torsion |
j |
4029546653497/2133402624 |
j-invariant |
L |
4.6441412573272 |
L(r)(E,1)/r! |
Ω |
0.59388320544382 |
Real period |
R |
1.9549893036547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078d1 |
Quadratic twists by: -4 |