Atkin-Lehner |
5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13775j |
Isogeny class |
Conductor |
13775 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
115584 |
Modular degree for the optimal curve |
Δ |
2725079730308875 = 53 · 197 · 293 |
Discriminant |
Eigenvalues |
-1 -3 5- -1 -1 -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42225,2211702] |
[a1,a2,a3,a4,a6] |
Generators |
[34:885:1] |
Generators of the group modulo torsion |
j |
66605950671034293/21800637842471 |
j-invariant |
L |
1.5511150781963 |
L(r)(E,1)/r! |
Ω |
0.4190474094044 |
Real period |
R |
0.26439474787436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123975bm1 13775h1 |
Quadratic twists by: -3 5 |