Atkin-Lehner |
3+ 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075h |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
657923765625 = 34 · 56 · 72 · 1032 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6050,174375] |
[a1,a2,a3,a4,a6] |
j |
1567768622113/42107121 |
j-invariant |
L |
1.812982693679 |
L(r)(E,1)/r! |
Ω |
0.90649134734847 |
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 |
2163b2 |
Quadratic twists by: 5 |