Atkin-Lehner |
3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475b |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
253845000298828125 = 39 · 59 · 115 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 11+ 6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1433700,-660302719] |
[a1,a2,a3,a4,a6] |
Generators |
[-18915:13924:27] |
Generators of the group modulo torsion |
j |
1059710528913408/825386375 |
j-invariant |
L |
5.3977967693819 |
L(r)(E,1)/r! |
Ω |
0.13797655241977 |
Real period |
R |
4.8901395547359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475l1 20295a1 |
Quadratic twists by: -3 5 |