Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552bn |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-9.7146619479573E+18 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -1 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320577,-165541089] |
[a1,a2,a3,a4,a6] |
Generators |
[12155:1338624:1] |
Generators of the group modulo torsion |
j |
-13898957473262737/37058494369344 |
j-invariant |
L |
6.7471471728755 |
L(r)(E,1)/r! |
Ω |
0.093195970356534 |
Real period |
R |
1.8099353408737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999375487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552co1 3486g1 |
Quadratic twists by: -4 8 |