Atkin-Lehner |
2+ 3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810u |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
1221454080 = 28 · 36 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1275,17765] |
[a1,a2,a3,a4,a6] |
Generators |
[23:3:1] [31:70:1] |
Generators of the group modulo torsion |
j |
314570740401/1675520 |
j-invariant |
L |
7.9200933484932 |
L(r)(E,1)/r! |
Ω |
1.5439864927281 |
Real period |
R |
5.1296390121598 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090n1 |
Quadratic twists by: -3 |