Atkin-Lehner |
2- 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4902k |
Isogeny class |
Conductor |
4902 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-8084708999036928 = -1 · 240 · 32 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 0 -2 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,39557,3105929] |
[a1,a2,a3,a4,a6] |
Generators |
[1331:48486:1] |
Generators of the group modulo torsion |
j |
6845309169258215375/8084708999036928 |
j-invariant |
L |
5.1071977874804 |
L(r)(E,1)/r! |
Ω |
0.27711890108633 |
Real period |
R |
0.23037032874065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39216bc1 14706g1 122550r1 93138t1 |
Quadratic twists by: -4 -3 5 -19 |