Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
6405l |
Isogeny class |
Conductor |
6405 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
311808 |
Modular degree for the optimal curve |
Δ |
6104765625 = 3 · 57 · 7 · 612 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127182618,552053813431] |
[a1,a2,a3,a4,a6] |
Generators |
[188085:1643224:27] |
Generators of the group modulo torsion |
j |
227513404230478843268782269721/6104765625 |
j-invariant |
L |
6.1764946668517 |
L(r)(E,1)/r! |
Ω |
0.32244002971015 |
Real period |
R |
5.4729952839416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480bk1 19215n1 32025d1 44835e1 |
Quadratic twists by: -4 -3 5 -7 |