Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400dk |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-812301663600000000 = -1 · 210 · 310 · 58 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,205592,24418688] |
[a1,a2,a3,a4,a6] |
Generators |
[23:5400:1] |
Generators of the group modulo torsion |
j |
60064829854844/50768853975 |
j-invariant |
L |
8.6670351080251 |
L(r)(E,1)/r! |
Ω |
0.18315340782381 |
Real period |
R |
2.3660589259547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280f1 |
Quadratic twists by: 5 |