Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cz |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
175472640 |
Modular degree for the optimal curve |
Δ |
8.1719538678507E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14765893011,-690485630313690] |
[a1,a2,a3,a4,a6] |
j |
189144902490810055678958872576/43412788611944537428125 |
j-invariant |
L |
0.93132128929033 |
L(r)(E,1)/r! |
Ω |
0.013695900966209 |
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 |
14280bl1 |
Quadratic twists by: -7 |