Atkin-Lehner |
3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675g |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-220068984375 = -1 · 33 · 57 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1495,-4128] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-225:1] |
Generators of the group modulo torsion |
j |
876467493/521645 |
j-invariant |
L |
2.4880157651436 |
L(r)(E,1)/r! |
Ω |
0.58201650490423 |
Real period |
R |
0.53435249369714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72675c2 14535b2 |
Quadratic twists by: -3 5 |