Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ek |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2.3022365703703E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-740892,-336961501] |
[a1,a2,a3,a4,a6] |
Generators |
[1993:78120:1] |
Generators of the group modulo torsion |
j |
-3856034557002072064/1973796785296875 |
j-invariant |
L |
7.5021662519533 |
L(r)(E,1)/r! |
Ω |
0.079443962954495 |
Real period |
R |
3.9347264269125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13860t1 18480bx1 |
Quadratic twists by: -4 -3 |