Atkin-Lehner |
2+ 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26334m |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-115184916 = -1 · 22 · 39 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11+ -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-351,2673] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:63:1] [12:3:1] |
Generators of the group modulo torsion |
j |
-6570725617/158004 |
j-invariant |
L |
4.985873073833 |
L(r)(E,1)/r! |
Ω |
1.8672186598156 |
Real period |
R |
0.33377672772971 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778t1 |
Quadratic twists by: -3 |