Atkin-Lehner |
2+ 3+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706d |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-40261245051582408 = -1 · 23 · 3 · 77 · 174 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 1 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21836,9724344] |
[a1,a2,a3,a4,a6] |
Generators |
[79:2876:1] |
Generators of the group modulo torsion |
j |
-1151526787137477577/40261245051582408 |
j-invariant |
L |
3.0212788932276 |
L(r)(E,1)/r! |
Ω |
0.30242816217695 |
Real period |
R |
0.35678825952768 |
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 |
62118bs1 |
Quadratic twists by: -3 |