Atkin-Lehner |
7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
66101h |
Isogeny class |
Conductor |
66101 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1405440 |
Modular degree for the optimal curve |
Δ |
-1.936388200186E+20 |
Discriminant |
Eigenvalues |
1 -1 0 7- 3 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1550875,999783002] |
[a1,a2,a3,a4,a6] |
Generators |
[874:17252:1] |
Generators of the group modulo torsion |
j |
-3506439058384515625/1645902812761697 |
j-invariant |
L |
4.7639188554705 |
L(r)(E,1)/r! |
Ω |
0.16719227201848 |
Real period |
R |
1.7808534142213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9443a1 |
Quadratic twists by: -7 |