Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094t |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
31535859627216 = 24 · 36 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -2 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46755,-3870203] |
[a1,a2,a3,a4,a6] |
Generators |
[-978:1175:8] |
Generators of the group modulo torsion |
j |
384240583/1072 |
j-invariant |
L |
3.3500131919581 |
L(r)(E,1)/r! |
Ω |
0.32472440630038 |
Real period |
R |
2.579120268687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6566k1 59094r1 |
Quadratic twists by: -3 -7 |