Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200hw |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30643200 |
Modular degree for the optimal curve |
Δ |
-1.4958628807955E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812138250,-9100538811875] |
[a1,a2,a3,a4,a6] |
Generators |
[248618495635151280308950:134206051127075623129927275:844902952088299811] |
Generators of the group modulo torsion |
j |
-46028377077760/1162261467 |
j-invariant |
L |
6.1968724112737 |
L(r)(E,1)/r! |
Ω |
0.014119338735958 |
Real period |
R |
36.574378158212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ca1 88200bq1 88200hp1 |
Quadratic twists by: -3 5 -7 |