Atkin-Lehner |
2+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111320i |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
-39654855680 = -1 · 210 · 5 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11- 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,9568] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:92:1] |
Generators of the group modulo torsion |
j |
-484/2645 |
j-invariant |
L |
10.516573680648 |
L(r)(E,1)/r! |
Ω |
0.92112717459097 |
Real period |
R |
0.95142252337017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111320s1 |
Quadratic twists by: -11 |