Atkin-Lehner |
2- 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
30900i |
Isogeny class |
Conductor |
30900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-6180000000 = -1 · 28 · 3 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -2 -6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5908,-176812] |
[a1,a2,a3,a4,a6] |
j |
-5702413264/1545 |
j-invariant |
L |
0.54453556336967 |
L(r)(E,1)/r! |
Ω |
0.27226778168565 |
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 |
123600z1 92700n1 6180b1 |
Quadratic twists by: -4 -3 5 |