Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350u |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-1.396665211752E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 0 -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5191758,3404328916] |
[a1,a2,a3,a4,a6] |
Generators |
[2195:158189:1] |
Generators of the group modulo torsion |
j |
2173899265153175/1961845235712 |
j-invariant |
L |
2.5846479148261 |
L(r)(E,1)/r! |
Ω |
0.081808615701134 |
Real period |
R |
2.6328195922831 |
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 |
82800dp1 3450p1 10350bt1 |
Quadratic twists by: -4 -3 5 |