Atkin-Lehner |
2- 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74562s |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
9.2071923307611E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 6 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1234903,256126253] |
[a1,a2,a3,a4,a6] |
Generators |
[213:1570:1] |
Generators of the group modulo torsion |
j |
1756232374625/776402496 |
j-invariant |
L |
9.2449043290426 |
L(r)(E,1)/r! |
Ω |
0.17134137352505 |
Real period |
R |
4.4963377963472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74562bb1 |
Quadratic twists by: 17 |