Atkin-Lehner |
2+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
90650bj |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-68015828125000 = -1 · 23 · 59 · 76 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -3 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11867,-633459] |
[a1,a2,a3,a4,a6] |
j |
-804357/296 |
j-invariant |
L |
0.44915840375015 |
L(r)(E,1)/r! |
Ω |
0.22457921181708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650db1 1850e1 |
Quadratic twists by: 5 -7 |