Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728b |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-149184 = -1 · 26 · 32 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 3 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,19] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
-4096/2331 |
j-invariant |
L |
5.1682532523263 |
L(r)(E,1)/r! |
Ω |
2.6349905221063 |
Real period |
R |
0.98069674425776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728en1 777f1 |
Quadratic twists by: -4 8 |