Atkin-Lehner |
3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1881a |
Isogeny class |
Conductor |
1881 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-362869509123 = -1 · 315 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3- 0 2 11+ -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3270,77589] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:364:1] |
Generators of the group modulo torsion |
j |
-5304438784000/497763387 |
j-invariant |
L |
2.6148347590918 |
L(r)(E,1)/r! |
Ω |
0.93349899604174 |
Real period |
R |
0.7002778712616 |
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 |
30096bd1 120384bg1 627b1 47025q1 |
Quadratic twists by: -4 8 -3 5 |