Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9765d |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1737848975625 = 310 · 54 · 72 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4905,-114800] |
[a1,a2,a3,a4,a6] |
Generators |
[1326:14527:8] |
Generators of the group modulo torsion |
j |
17904534011281/2383880625 |
j-invariant |
L |
4.6258258249283 |
L(r)(E,1)/r! |
Ω |
0.5754945373124 |
Real period |
R |
4.0190006377222 |
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 |
3255c2 48825bk2 68355w2 |
Quadratic twists by: -3 5 -7 |