Atkin-Lehner |
7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26999a |
Isogeny class |
Conductor |
26999 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3960 |
Modular degree for the optimal curve |
Δ |
-38365579 = -1 · 74 · 19 · 292 |
Discriminant |
Eigenvalues |
0 0 -1 7+ 4 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-98,-478] |
[a1,a2,a3,a4,a6] |
Generators |
[130:373:8] |
Generators of the group modulo torsion |
j |
-43352064/15979 |
j-invariant |
L |
4.1817167692144 |
L(r)(E,1)/r! |
Ω |
0.74497092991884 |
Real period |
R |
2.8066308370382 |
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 |
26999o1 |
Quadratic twists by: -7 |