Atkin-Lehner |
2- 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
56100bf |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
515328 |
Modular degree for the optimal curve |
Δ |
129101679231426000 = 24 · 322 · 53 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-298673,-60500892] |
[a1,a2,a3,a4,a6] |
j |
1473272434760105984/64550839615713 |
j-invariant |
L |
4.5050320341694 |
L(r)(E,1)/r! |
Ω |
0.20477418341153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56100l1 |
Quadratic twists by: 5 |