Atkin-Lehner |
2- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
69520w |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2172500000000000000 = 214 · 516 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-426827,-80567046] |
[a1,a2,a3,a4,a6] |
j |
2099517099737524641/530395507812500 |
j-invariant |
L |
3.0440485949694 |
L(r)(E,1)/r! |
Ω |
0.19025303679366 |
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 |
8690h4 |
Quadratic twists by: -4 |