Atkin-Lehner |
3- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469u |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
1434904493533497 = 34 · 711 · 172 · 31 |
Discriminant |
Eigenvalues |
1 3- -4 7- 0 6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-529373,148193147] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:15373:1] |
Generators of the group modulo torsion |
j |
139450364376814009/12196486953 |
j-invariant |
L |
7.0007997423998 |
L(r)(E,1)/r! |
Ω |
0.45781350298331 |
Real period |
R |
3.8229539417688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11067e1 |
Quadratic twists by: -7 |