Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770z |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-233867044454400 = -1 · 218 · 39 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,9199,653481] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:427:1] |
Generators of the group modulo torsion |
j |
86087999924407151/233867044454400 |
j-invariant |
L |
7.0396487655212 |
L(r)(E,1)/r! |
Ω |
0.39100099735083 |
Real period |
R |
1.0002317148404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
62160bi1 23310z1 38850a1 54390ce1 |
Quadratic twists by: -4 -3 5 -7 |