Atkin-Lehner |
2+ 3- 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
90270l |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
-246775612500000 = -1 · 25 · 39 · 58 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 -2 -6 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61434,-5894060] |
[a1,a2,a3,a4,a6] |
j |
-35174387234540449/338512500000 |
j-invariant |
L |
2.4245867795216 |
L(r)(E,1)/r! |
Ω |
0.15153668011603 |
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 |
30090f1 |
Quadratic twists by: -3 |