Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520bm |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-709689600000000 = -1 · 214 · 34 · 58 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29105,-2310897] |
[a1,a2,a3,a4,a6] |
j |
-166426126492624/43316015625 |
j-invariant |
L |
5.7696125354815 |
L(r)(E,1)/r! |
Ω |
0.18030039173412 |
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 |
35520cj2 2220b2 106560cf2 |
Quadratic twists by: -4 8 -3 |