Atkin-Lehner |
3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1311d |
Isogeny class |
Conductor |
1311 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-293901291 = -1 · 34 · 193 · 232 |
Discriminant |
Eigenvalues |
-2 3- -3 1 1 0 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,18,830] |
[a1,a2,a3,a4,a6] |
Generators |
[75:655:1] |
Generators of the group modulo torsion |
j |
609800192/293901291 |
j-invariant |
L |
1.4850519280806 |
L(r)(E,1)/r! |
Ω |
1.3453478280137 |
Real period |
R |
0.045993431870612 |
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 |
20976f1 83904d1 3933f1 32775i1 |
Quadratic twists by: -4 8 -3 5 |