Atkin-Lehner |
3+ 5- 31- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99975g |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
880320 |
Modular degree for the optimal curve |
Δ |
-35934913105729875 = -1 · 35 · 53 · 317 · 43 |
Discriminant |
Eigenvalues |
2 3+ 5- -1 3 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,42572,-8484867] |
[a1,a2,a3,a4,a6] |
Generators |
[1578:21975:8] |
Generators of the group modulo torsion |
j |
68261473394716672/287479304845839 |
j-invariant |
L |
11.275407321997 |
L(r)(E,1)/r! |
Ω |
0.18538961199316 |
Real period |
R |
4.3442899997439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99975o1 |
Quadratic twists by: 5 |