Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720bj |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
23903360000 = 210 · 54 · 133 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49765,-4289637] |
[a1,a2,a3,a4,a6] |
Generators |
[40055:446684:125] |
Generators of the group modulo torsion |
j |
13310810713145344/23343125 |
j-invariant |
L |
5.5196414038386 |
L(r)(E,1)/r! |
Ω |
0.31964496732049 |
Real period |
R |
8.6340189394585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720m1 17680i1 |
Quadratic twists by: -4 8 |