Atkin-Lehner |
3- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469t |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-6470288349 = -1 · 3 · 72 · 175 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 7- 3 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-845,-10279] |
[a1,a2,a3,a4,a6] |
Generators |
[16418844876396285:7087148254882981:480545460351783] |
Generators of the group modulo torsion |
j |
-1359435900697/132046701 |
j-invariant |
L |
11.659289622463 |
L(r)(E,1)/r! |
Ω |
0.44038097102016 |
Real period |
R |
26.475461906208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77469a1 |
Quadratic twists by: -7 |