Atkin-Lehner |
2+ 3+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624d |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
125494272 = 210 · 34 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 0 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-480,4176] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:36:1] [4:48:1] |
Generators of the group modulo torsion |
j |
11968836484/122553 |
j-invariant |
L |
7.0706391902217 |
L(r)(E,1)/r! |
Ω |
1.8646836750134 |
Real period |
R |
1.8959352958594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36312d1 |
Quadratic twists by: -4 |