Atkin-Lehner |
3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3675a |
Isogeny class |
Conductor |
3675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4222266357421875 = -1 · 3 · 512 · 78 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-251533,-48572532] |
[a1,a2,a3,a4,a6] |
Generators |
[6981588:187705808:6859] |
Generators of the group modulo torsion |
j |
-19539165184/46875 |
j-invariant |
L |
2.4416705815004 |
L(r)(E,1)/r! |
Ω |
0.10657571479832 |
Real period |
R |
11.455098312599 |
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 |
58800hp2 11025q2 735d2 3675i2 |
Quadratic twists by: -4 -3 5 -7 |