Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688m |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
436196061025901568 = 210 · 34 · 79 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29048392,60269971168] |
[a1,a2,a3,a4,a6] |
Generators |
[3737998:-2383716573:10648] |
Generators of the group modulo torsion |
j |
22501000029889239268/3620708343 |
j-invariant |
L |
6.4606791638623 |
L(r)(E,1)/r! |
Ω |
0.23339347576378 |
Real period |
R |
6.9203724983273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22344t4 6384n3 |
Quadratic twists by: -4 -7 |