Atkin-Lehner |
2- 3- 13- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75582bn |
Isogeny class |
Conductor |
75582 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
113904949046011812 = 22 · 36 · 132 · 173 · 196 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-196835,29479295] |
[a1,a2,a3,a4,a6] |
Generators |
[-3882:27929:8] |
Generators of the group modulo torsion |
j |
1156914033098811625/156248215426628 |
j-invariant |
L |
11.424973579166 |
L(r)(E,1)/r! |
Ω |
0.32026710355288 |
Real period |
R |
2.9727721671425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398g1 |
Quadratic twists by: -3 |