Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150dq |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-1215425250000000 = -1 · 27 · 39 · 59 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 1 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12445,-1593053] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1190:1] |
Generators of the group modulo torsion |
j |
5545233/31616 |
j-invariant |
L |
13.325925767288 |
L(r)(E,1)/r! |
Ω |
0.24346320858744 |
Real period |
R |
1.9548165875045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150u1 111150q1 |
Quadratic twists by: -3 5 |