Atkin-Lehner |
2+ 3- 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
90270k |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
507840 |
Modular degree for the optimal curve |
Δ |
-153341027942400 = -1 · 223 · 36 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3069,600133] |
[a1,a2,a3,a4,a6] |
j |
-4385977971409/210344345600 |
j-invariant |
L |
0.95772438077466 |
L(r)(E,1)/r! |
Ω |
0.47886232254104 |
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 |
10030i1 |
Quadratic twists by: -3 |