Atkin-Lehner |
3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3675d |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-270225046875 = -1 · 3 · 56 · 78 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ -2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2858,64868] |
[a1,a2,a3,a4,a6] |
Generators |
[82:612:1] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
1.4776276496845 |
L(r)(E,1)/r! |
Ω |
0.95436889931606 |
Real period |
R |
0.25804620741928 |
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 |
58800hu1 11025s1 147b1 3675n1 |
Quadratic twists by: -4 -3 5 -7 |