Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124872n |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
-304396470504192 = -1 · 28 · 3 · 118 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 5 11- 6 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12423,652683] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1794:1] |
Generators of the group modulo torsion |
j |
3863552/5547 |
j-invariant |
L |
13.160290339435 |
L(r)(E,1)/r! |
Ω |
0.36928384779506 |
Real period |
R |
4.4546662396893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124872bi1 |
Quadratic twists by: -11 |