Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728z |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1707931631616 = -1 · 215 · 3 · 73 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 2 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,63073] |
[a1,a2,a3,a4,a6] |
Generators |
[24:259:1] |
Generators of the group modulo torsion |
j |
-193100552/52121937 |
j-invariant |
L |
5.997053210573 |
L(r)(E,1)/r! |
Ω |
0.68372181068131 |
Real period |
R |
0.48728827661083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49728br1 24864m1 |
Quadratic twists by: -4 8 |