Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150q |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
2609794252800 = 218 · 33 · 52 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 1 -4 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-80640,-8847360] |
[a1,a2,a3,a4,a6] |
Generators |
[-20480:12032:125] |
Generators of the group modulo torsion |
j |
2319763312630149745/104391770112 |
j-invariant |
L |
3.6670111295324 |
L(r)(E,1)/r! |
Ω |
0.2833103210959 |
Real period |
R |
2.1572405806619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150da1 |
Quadratic twists by: 5 |