Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dk |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
232076171099949120 = 26 · 33 · 5 · 73 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-542765,-152199663] |
[a1,a2,a3,a4,a6] |
Generators |
[-458:835:1] |
Generators of the group modulo torsion |
j |
119451676585249/1567702080 |
j-invariant |
L |
12.94305716743 |
L(r)(E,1)/r! |
Ω |
0.17603193130288 |
Real period |
R |
4.0848198633366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830be1 |
Quadratic twists by: -23 |