Atkin-Lehner |
2+ 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51282p |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-216398552832 = -1 · 28 · 36 · 7 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1269,13765] |
[a1,a2,a3,a4,a6] |
j |
309876419663/296843008 |
j-invariant |
L |
2.6191156068052 |
L(r)(E,1)/r! |
Ω |
0.65477890160658 |
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 |
5698c1 |
Quadratic twists by: -3 |