Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cr |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
1766400 |
Modular degree for the optimal curve |
Δ |
-631762910216528160 = -1 · 25 · 3 · 5 · 75 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-103166,-40320924] |
[a1,a2,a3,a4,a6] |
Generators |
[5334:386148:1] |
Generators of the group modulo torsion |
j |
-1550640289/8067360 |
j-invariant |
L |
13.998893387682 |
L(r)(E,1)/r! |
Ω |
0.12001081882103 |
Real period |
R |
1.5552923776772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090db1 |
Quadratic twists by: -23 |