Atkin-Lehner |
2- 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117040bb |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6251904 |
Modular degree for the optimal curve |
Δ |
-7867773492350464000 = -1 · 212 · 53 · 73 · 119 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24859381,-47699067075] |
[a1,a2,a3,a4,a6] |
j |
-414796146484523639209984/1920843137780875 |
j-invariant |
L |
4.0905548022496 |
L(r)(E,1)/r! |
Ω |
0.033806239139805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7315b1 |
Quadratic twists by: -4 |