Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111320f |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-431031040 = -1 · 28 · 5 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 11- 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,1219] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-22:1] |
Generators of the group modulo torsion |
j |
-123904/115 |
j-invariant |
L |
3.9504218084397 |
L(r)(E,1)/r! |
Ω |
1.5291364279513 |
Real period |
R |
0.21528610146008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999148167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111320q1 |
Quadratic twists by: -11 |