Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728ca |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-206072832 = -1 · 210 · 3 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,147,147] |
[a1,a2,a3,a4,a6] |
Generators |
[154:819:8] |
Generators of the group modulo torsion |
j |
340736000/201243 |
j-invariant |
L |
8.0510762955451 |
L(r)(E,1)/r! |
Ω |
1.0840614012429 |
Real period |
R |
3.7133857391824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728cq1 6216e1 |
Quadratic twists by: -4 8 |