Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cw |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-250387200 = -1 · 28 · 35 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 1 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1125,14175] |
[a1,a2,a3,a4,a6] |
Generators |
[15:30:1] |
Generators of the group modulo torsion |
j |
-615640662016/978075 |
j-invariant |
L |
8.0469648020356 |
L(r)(E,1)/r! |
Ω |
1.7517086553017 |
Real period |
R |
0.22968901756808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9660c1 115920cu1 |
Quadratic twists by: -4 -3 |