Atkin-Lehner |
3- 5+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
70725m |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
86880 |
Modular degree for the optimal curve |
Δ |
-5402187675 = -1 · 35 · 52 · 232 · 412 |
Discriminant |
Eigenvalues |
-2 3- 5+ -5 0 -3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-548,5894] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:365:8] [-11:103:1] |
Generators of the group modulo torsion |
j |
-729319198720/216087507 |
j-invariant |
L |
5.5706950485506 |
L(r)(E,1)/r! |
Ω |
1.2855186236954 |
Real period |
R |
0.21667111413199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70725h1 |
Quadratic twists by: 5 |