Atkin-Lehner |
2+ 3- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706l |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
108852269625114624 = 236 · 33 · 7 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-120382,-2554960] |
[a1,a2,a3,a4,a6] |
Generators |
[478:6773:1] |
Generators of the group modulo torsion |
j |
192931521431901310297/108852269625114624 |
j-invariant |
L |
3.5658137398192 |
L(r)(E,1)/r! |
Ω |
0.27609903150439 |
Real period |
R |
4.3049936592074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62118bh1 |
Quadratic twists by: -3 |