Atkin-Lehner |
2+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
3002a |
Isogeny class |
Conductor |
3002 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
792 |
Modular degree for the optimal curve |
Δ |
-60712448 = -1 · 29 · 19 · 792 |
Discriminant |
Eigenvalues |
2+ -1 0 3 -4 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-105,517] |
[a1,a2,a3,a4,a6] |
Generators |
[13:33:1] |
Generators of the group modulo torsion |
j |
-129938649625/60712448 |
j-invariant |
L |
2.1748365603481 |
L(r)(E,1)/r! |
Ω |
1.8418636123213 |
Real period |
R |
0.59039022916772 |
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 |
24016j1 96064f1 27018h1 75050h1 |
Quadratic twists by: -4 8 -3 5 |