Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34440o |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
16875600 = 24 · 3 · 52 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-351575,80119998] |
[a1,a2,a3,a4,a6] |
Generators |
[9282:1540:27] |
Generators of the group modulo torsion |
j |
300371636747512109056/1054725 |
j-invariant |
L |
7.7069411909948 |
L(r)(E,1)/r! |
Ω |
1.0385668123559 |
Real period |
R |
2.4735822158333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880l1 103320be1 |
Quadratic twists by: -4 -3 |