Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570bo |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
7.6231672860672E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3235471,2198943893] |
[a1,a2,a3,a4,a6] |
Generators |
[491:26754:1] |
Generators of the group modulo torsion |
j |
31838163966219633121/647958528000000 |
j-invariant |
L |
6.4758907703543 |
L(r)(E,1)/r! |
Ω |
0.1934967105909 |
Real period |
R |
0.92965846387089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510bd1 |
Quadratic twists by: -7 |