Atkin-Lehner |
2+ 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120d |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3721843520640000 = 210 · 35 · 54 · 7 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51696,3459996] |
[a1,a2,a3,a4,a6] |
j |
14921173435879876/3634612813125 |
j-invariant |
L |
0.83099227716405 |
L(r)(E,1)/r! |
Ω |
0.41549613856967 |
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 |
72240q4 108360bu4 |
Quadratic twists by: -4 -3 |