Atkin-Lehner |
2+ 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38760l |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1305240922464000 = -1 · 28 · 3 · 53 · 172 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26980,-325632] |
[a1,a2,a3,a4,a6] |
Generators |
[336:6840:1] |
Generators of the group modulo torsion |
j |
8483859855616304/5098597353375 |
j-invariant |
L |
7.2538760716981 |
L(r)(E,1)/r! |
Ω |
0.28118764498435 |
Real period |
R |
4.2995464660278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520n1 116280bn1 |
Quadratic twists by: -4 -3 |