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 |
Δ |
-143608669136296875 = -1 · 313 · 56 · 78 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ -2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1117608,-454753132] |
[a1,a2,a3,a4,a6] |
Generators |
[1307:17762:1] |
Generators of the group modulo torsion |
j |
-1713910976512/1594323 |
j-invariant |
L |
1.4776276496845 |
L(r)(E,1)/r! |
Ω |
0.073412992255081 |
Real period |
R |
3.3546006964506 |
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 |
58800hu2 11025s2 147b2 3675n2 |
Quadratic twists by: -4 -3 5 -7 |