Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672dd |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-7778445228387598336 = -1 · 221 · 1111 · 13 |
Discriminant |
Eigenvalues |
2- 2 1 1 11- 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-511265,-194262847] |
[a1,a2,a3,a4,a6] |
Generators |
[3167795446712:54142770540639:3170044709] |
Generators of the group modulo torsion |
j |
-31824875809/16749304 |
j-invariant |
L |
11.474734333185 |
L(r)(E,1)/r! |
Ω |
0.087117567754767 |
Real period |
R |
16.464437984377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672v1 25168bo1 9152w1 |
Quadratic twists by: -4 8 -11 |