Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
3675j |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
39723081890625 = 32 · 56 · 710 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60051,5650873] |
[a1,a2,a3,a4,a6] |
Generators |
[1366:4263:8] |
Generators of the group modulo torsion |
j |
13027640977/21609 |
j-invariant |
L |
4.991201083102 |
L(r)(E,1)/r! |
Ω |
0.64603245757805 |
Real period |
R |
3.8629646425304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58800gb4 11025ba3 147a4 525b3 |
Quadratic twists by: -4 -3 5 -7 |