Atkin-Lehner |
2- 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
39060c |
Isogeny class |
Conductor |
39060 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-3533003034623521200 = -1 · 24 · 313 · 52 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59268,90604033] |
[a1,a2,a3,a4,a6] |
j |
-1973953954103296/302898065382675 |
j-invariant |
L |
2.4543193928599 |
L(r)(E,1)/r! |
Ω |
0.20452661606767 |
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 |
13020b1 |
Quadratic twists by: -3 |