Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400dq |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
5.4453549000206E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4507125,3665811875] |
[a1,a2,a3,a4,a6] |
Generators |
[4450:267825:1] |
Generators of the group modulo torsion |
j |
60003797858807040/322687697779 |
j-invariant |
L |
6.8040905524399 |
L(r)(E,1)/r! |
Ω |
0.20008669967959 |
Real period |
R |
5.6676185566301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17100h1 68400dp2 68400de1 |
Quadratic twists by: -4 -3 5 |