Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950p |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-7812458315200000000 = -1 · 212 · 58 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-68626,-134661852] |
[a1,a2,a3,a4,a6] |
j |
-19443408769/4249907200 |
j-invariant |
L |
0.83536057109352 |
L(r)(E,1)/r! |
Ω |
0.10442007138671 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390bf1 3850d1 |
Quadratic twists by: 5 -7 |