Atkin-Lehner |
2- 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760q |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-19767600 = -1 · 24 · 32 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29,196] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-15:1] [5:21:1] |
Generators of the group modulo torsion |
j |
162830336/1235475 |
j-invariant |
L |
7.1077796752535 |
L(r)(E,1)/r! |
Ω |
1.5787394696526 |
Real period |
R |
1.1255466484313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520s1 116280v1 |
Quadratic twists by: -4 -3 |