Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808cf |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-316991583216 = -1 · 24 · 37 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 1 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5439,156751] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:441:1] [-7:441:1] |
Generators of the group modulo torsion |
j |
-12967168/231 |
j-invariant |
L |
7.7275491708811 |
L(r)(E,1)/r! |
Ω |
0.96769886729657 |
Real period |
R |
0.24954654774441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616cn1 12936l1 5544u1 |
Quadratic twists by: -4 -3 -7 |