Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ea |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
3.6351271753482E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1262412,-462504816] |
[a1,a2,a3,a4,a6] |
Generators |
[-5086:72935:8] |
Generators of the group modulo torsion |
j |
43121696645763/7045120000 |
j-invariant |
L |
8.0329994180533 |
L(r)(E,1)/r! |
Ω |
0.14400617946013 |
Real period |
R |
6.9727904960718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840z1 30960t1 123840dp1 |
Quadratic twists by: -4 8 -3 |