Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720c |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
141440000 = 210 · 54 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,-1435] |
[a1,a2,a3,a4,a6] |
Generators |
[407832:1730575:13824] |
Generators of the group modulo torsion |
j |
1927561216/138125 |
j-invariant |
L |
10.012312650581 |
L(r)(E,1)/r! |
Ω |
1.1927765041452 |
Real period |
R |
8.3941229682214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720y1 4420b1 |
Quadratic twists by: -4 8 |