Atkin-Lehner |
2- 3+ 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
23532a |
Isogeny class |
Conductor |
23532 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
49815651337673472 = 28 · 33 · 376 · 532 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -4 -2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-421380,104874696] |
[a1,a2,a3,a4,a6] |
j |
32322618316792883536/194592388037787 |
j-invariant |
L |
1.0754376360213 |
L(r)(E,1)/r! |
Ω |
0.3584792120071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94128k2 70596d2 |
Quadratic twists by: -4 -3 |