Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240g |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-251965747968768000 = -1 · 211 · 36 · 53 · 675 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -1 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-596043,178757658] |
[a1,a2,a3,a4,a6] |
j |
-15685523123710482/168765638375 |
j-invariant |
L |
1.2514099594064 |
L(r)(E,1)/r! |
Ω |
0.31285248993503 |
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 |
24120r1 5360d1 |
Quadratic twists by: -4 -3 |