Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49284b |
Isogeny class |
Conductor |
49284 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-591408 = -1 · 24 · 33 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 0 -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,37] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] [3:8:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
9.2769217538639 |
L(r)(E,1)/r! |
Ω |
2.3044045339988 |
Real period |
R |
2.012867449485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49284b2 49284a1 |
Quadratic twists by: -3 37 |