Atkin-Lehner |
2- 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450ba |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
1.2593124E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2973063,-990249219] |
[a1,a2,a3,a4,a6] |
j |
186001322269702352041/80595993600000000 |
j-invariant |
L |
1.9135796813542 |
L(r)(E,1)/r! |
Ω |
0.11959873008445 |
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 |
9690n1 |
Quadratic twists by: 5 |