Atkin-Lehner |
2- 5+ 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
127280i |
Isogeny class |
Conductor |
127280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3586811494400 = 221 · 52 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1616483,791051618] |
[a1,a2,a3,a4,a6] |
j |
114045246724727265849/875686400 |
j-invariant |
L |
1.0907419790026 |
L(r)(E,1)/r! |
Ω |
0.54537026028376 |
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 |
15910c2 |
Quadratic twists by: -4 |