Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552f |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
476160 |
Modular degree for the optimal curve |
Δ |
-216073227267072 = -1 · 210 · 32 · 710 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67117,6752317] |
[a1,a2,a3,a4,a6] |
Generators |
[673:16308:1] |
Generators of the group modulo torsion |
j |
-32653356854904832/211009011003 |
j-invariant |
L |
5.9196215298786 |
L(r)(E,1)/r! |
Ω |
0.56411690546483 |
Real period |
R |
5.246803909614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999319791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552dr1 13944h1 |
Quadratic twists by: -4 8 |