Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
105196h |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
6123600 |
Modular degree for the optimal curve |
Δ |
-1108503145296112384 = -1 · 28 · 79 · 135 · 172 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23079789,42684919001] |
[a1,a2,a3,a4,a6] |
Generators |
[1715:90246:1] |
Generators of the group modulo torsion |
j |
-18377288157577218039808/14983011803851 |
j-invariant |
L |
12.07588191773 |
L(r)(E,1)/r! |
Ω |
0.22941844359126 |
Real period |
R |
3.5091284849291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105196q1 |
Quadratic twists by: 17 |