Atkin-Lehner |
2+ 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124872a |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
595584 |
Modular degree for the optimal curve |
Δ |
-4866804034224 = -1 · 24 · 3 · 119 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 11+ 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-405511,-99257156] |
[a1,a2,a3,a4,a6] |
Generators |
[410294437:17256224667:205379] |
Generators of the group modulo torsion |
j |
-195469297664/129 |
j-invariant |
L |
4.5330817296201 |
L(r)(E,1)/r! |
Ω |
0.094595133117379 |
Real period |
R |
11.980219143756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124872w1 |
Quadratic twists by: -11 |