Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10626k |
Isogeny class |
Conductor |
10626 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2525789574 = -1 · 2 · 33 · 75 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11- 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,339,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[6:81:8] |
Generators of the group modulo torsion |
j |
4307673070511/2525789574 |
j-invariant |
L |
5.2940762172654 |
L(r)(E,1)/r! |
Ω |
0.85037273064162 |
Real period |
R |
3.1127974983811 |
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 |
85008cj1 31878f1 74382bt1 116886e1 |
Quadratic twists by: -4 -3 -7 -11 |