Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775cv |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
493920 |
Modular degree for the optimal curve |
Δ |
-3952041310546875 = -1 · 33 · 59 · 78 · 13 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ -1 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-800333,275334119] |
[a1,a2,a3,a4,a6] |
Generators |
[433:3187:1] |
Generators of the group modulo torsion |
j |
-5035261952/351 |
j-invariant |
L |
5.9983942438244 |
L(r)(E,1)/r! |
Ω |
0.41863055069423 |
Real period |
R |
2.3881018055572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775z1 47775bl1 |
Quadratic twists by: 5 -7 |