Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29792j |
Isogeny class |
Conductor |
29792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-1193208099844096 = -1 · 212 · 76 · 195 |
Discriminant |
Eigenvalues |
2- 0 -3 7- -5 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2744,1662864] |
[a1,a2,a3,a4,a6] |
Generators |
[32:1268:1] |
Generators of the group modulo torsion |
j |
-4741632/2476099 |
j-invariant |
L |
3.3122422274709 |
L(r)(E,1)/r! |
Ω |
0.39424867988135 |
Real period |
R |
4.2007017353461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29792m1 59584cw1 608e1 |
Quadratic twists by: -4 8 -7 |