Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960ct |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-1113351782400 = -1 · 220 · 33 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14067,-644174] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1290:1] |
Generators of the group modulo torsion |
j |
-2783584838763/10067200 |
j-invariant |
L |
5.9863096286517 |
L(r)(E,1)/r! |
Ω |
0.21914176801717 |
Real period |
R |
3.4146329399239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12870h1 102960cd1 |
Quadratic twists by: -4 -3 |