Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bv |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-359144114089885696 = -1 · 223 · 117 · 133 |
Discriminant |
Eigenvalues |
2+ 2 -3 1 11- 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50497,-29145279] |
[a1,a2,a3,a4,a6] |
Generators |
[14865:1812096:1] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
8.0721276569217 |
L(r)(E,1)/r! |
Ω |
0.13104639336042 |
Real period |
R |
2.5665616901241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672eg1 3146n1 9152j1 |
Quadratic twists by: -4 8 -11 |