Atkin-Lehner |
3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675f |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1980 |
Modular degree for the optimal curve |
Δ |
-714717675 = -1 · 35 · 52 · 76 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 2 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,82,-1282] |
[a1,a2,a3,a4,a6] |
j |
20480/243 |
j-invariant |
L |
0.78929509403475 |
L(r)(E,1)/r! |
Ω |
0.78929509403475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800ij1 11025bc1 3675q2 75c1 |
Quadratic twists by: -4 -3 5 -7 |