Atkin-Lehner |
2- 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600bl |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
158208000 = 212 · 3 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488,4272] |
[a1,a2,a3,a4,a6] |
j |
25153757/309 |
j-invariant |
L |
3.6550518097092 |
L(r)(E,1)/r! |
Ω |
1.8275254176883 |
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 |
7725m1 123600cp1 |
Quadratic twists by: -4 5 |