Atkin-Lehner |
3- 5+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745x |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2101542975 = -1 · 37 · 52 · 7 · 172 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,-2349] |
[a1,a2,a3,a4,a6] |
Generators |
[9652:112899:64] |
Generators of the group modulo torsion |
j |
-887503681/2882775 |
j-invariant |
L |
6.7540362927759 |
L(r)(E,1)/r! |
Ω |
0.60017797066056 |
Real period |
R |
5.6266946083735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915q1 |
Quadratic twists by: -3 |