Atkin-Lehner |
2+ 3- 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530bj |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
-14679685914300000 = -1 · 25 · 35 · 55 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46588,-7001062] |
[a1,a2,a3,a4,a6] |
Generators |
[604:-13915:1] |
Generators of the group modulo torsion |
j |
-6312136778641/8286300000 |
j-invariant |
L |
5.7004162364208 |
L(r)(E,1)/r! |
Ω |
0.15491737896521 |
Real period |
R |
0.36796493014545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999710474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230bh1 |
Quadratic twists by: -11 |