Atkin-Lehner |
2+ 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
81498l |
Isogeny class |
Conductor |
81498 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-958987555393536 = -1 · 212 · 33 · 174 · 473 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -6 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22115,1953182] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:421:1] [-129:1696:1] |
Generators of the group modulo torsion |
j |
-14320580660713/11481993216 |
j-invariant |
L |
6.2560169707505 |
L(r)(E,1)/r! |
Ω |
0.45459145956885 |
Real period |
R |
2.293640747459 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81498c1 |
Quadratic twists by: 17 |