Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38280l |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-88197120 = -1 · 211 · 33 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-720] |
[a1,a2,a3,a4,a6] |
Generators |
[23:96:1] |
Generators of the group modulo torsion |
j |
-94091762/43065 |
j-invariant |
L |
7.2008111892632 |
L(r)(E,1)/r! |
Ω |
0.70517583800529 |
Real period |
R |
3.4037899018359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76560h1 114840z1 |
Quadratic twists by: -4 -3 |