Atkin-Lehner |
3+ 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
101175a |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
464640 |
Modular degree for the optimal curve |
Δ |
-11668520654296875 = -1 · 311 · 511 · 19 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 3 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-74633,9437543] |
[a1,a2,a3,a4,a6] |
Generators |
[2019:55774:27] |
Generators of the group modulo torsion |
j |
-2942403325198336/746785321875 |
j-invariant |
L |
4.7171533105008 |
L(r)(E,1)/r! |
Ω |
0.38303121414918 |
Real period |
R |
6.157661747114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997177 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20235m1 |
Quadratic twists by: 5 |