Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104g |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
222976240819504128 = 210 · 311 · 113 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-947235,354113714] |
[a1,a2,a3,a4,a6] |
j |
125912671148474500/298697167593 |
j-invariant |
L |
2.5236179330312 |
L(r)(E,1)/r! |
Ω |
0.31545224161709 |
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 |
24552v1 16368b1 |
Quadratic twists by: -4 -3 |