Atkin-Lehner |
2+ 3- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350bf |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
229639320000000 = 29 · 33 · 57 · 193 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27401,1583948] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-734:1] |
Generators of the group modulo torsion |
j |
145606291302529/14696916480 |
j-invariant |
L |
5.8784868263458 |
L(r)(E,1)/r! |
Ω |
0.54214908854944 |
Real period |
R |
0.60238522641061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17670m1 |
Quadratic twists by: 5 |