Atkin-Lehner |
2- 3+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10266d |
Isogeny class |
Conductor |
10266 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8800 |
Modular degree for the optimal curve |
Δ |
3233050848 = 25 · 310 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -3 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2342,42563] |
[a1,a2,a3,a4,a6] |
Generators |
[51:217:1] |
Generators of the group modulo torsion |
j |
1420679043215713/3233050848 |
j-invariant |
L |
6.4200898824978 |
L(r)(E,1)/r! |
Ω |
1.4191930415685 |
Real period |
R |
0.45237608235469 |
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 |
82128x1 30798i1 |
Quadratic twists by: -4 -3 |