Atkin-Lehner |
3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6975o |
Isogeny class |
Conductor |
6975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-22518815923125 = -1 · 319 · 54 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 2 -2 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3033,-219834] |
[a1,a2,a3,a4,a6] |
Generators |
[54:288:1] |
Generators of the group modulo torsion |
j |
6771000575/49424013 |
j-invariant |
L |
4.9702366423285 |
L(r)(E,1)/r! |
Ω |
0.33704689798254 |
Real period |
R |
2.457737420756 |
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 |
111600gq1 2325l1 6975f1 |
Quadratic twists by: -4 -3 5 |