Atkin-Lehner |
3- 5- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745bh |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
2453760 |
Modular degree for the optimal curve |
Δ |
-3547831417716796875 = -1 · 39 · 59 · 75 · 172 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -6 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,302163,64229490] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:2677:1] [-1166:33071:8] |
Generators of the group modulo torsion |
j |
4185236795823558656/4866709763671875 |
j-invariant |
L |
6.1879312020694 |
L(r)(E,1)/r! |
Ω |
0.16670808559771 |
Real period |
R |
0.10310656332855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33915n1 |
Quadratic twists by: -3 |