Atkin-Lehner |
2+ 3- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
10302c |
Isogeny class |
Conductor |
10302 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
15496254554112 = 215 · 33 · 17 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-59776,-5626930] |
[a1,a2,a3,a4,a6] |
Generators |
[-1138:985:8] |
Generators of the group modulo torsion |
j |
23620757378415765625/15496254554112 |
j-invariant |
L |
4.1501907371692 |
L(r)(E,1)/r! |
Ω |
0.30534148579064 |
Real period |
R |
4.5306549446028 |
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 |
82416h2 30906m2 |
Quadratic twists by: -4 -3 |