Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
101640bt |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1.1504755312525E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1037736,657517500] |
[a1,a2,a3,a4,a6] |
Generators |
[81:23958:1] |
Generators of the group modulo torsion |
j |
-51185936876/47647845 |
j-invariant |
L |
5.0544922520818 |
L(r)(E,1)/r! |
Ω |
0.17068928286177 |
Real period |
R |
2.467686785195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101640a1 |
Quadratic twists by: -11 |