Atkin-Lehner |
2+ 3+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
7446c |
Isogeny class |
Conductor |
7446 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-144207024516 = -1 · 22 · 34 · 174 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1289,-3575] |
[a1,a2,a3,a4,a6] |
Generators |
[7:73:1] |
Generators of the group modulo torsion |
j |
236567954492423/144207024516 |
j-invariant |
L |
2.0703554279663 |
L(r)(E,1)/r! |
Ω |
0.5981815277456 |
Real period |
R |
0.43263527289303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59568bh2 22338i2 126582o2 |
Quadratic twists by: -4 -3 17 |