Atkin-Lehner |
2- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
49852c |
Isogeny class |
Conductor |
49852 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3960 |
Modular degree for the optimal curve |
Δ |
-199408 = -1 · 24 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 2 0 0 11- 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18,-31] |
[a1,a2,a3,a4,a6] |
j |
-352000/103 |
j-invariant |
L |
3.4093409248621 |
L(r)(E,1)/r! |
Ω |
1.1364469751558 |
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 |
49852d1 |
Quadratic twists by: -11 |