Atkin-Lehner |
2+ 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520f |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7274897234304000 = 210 · 3 · 53 · 74 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53880,-2498628] |
[a1,a2,a3,a4,a6] |
j |
16893303207590884/7104391830375 |
j-invariant |
L |
1.9519965423658 |
L(r)(E,1)/r! |
Ω |
0.32533275703038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040t4 |
Quadratic twists by: -4 |