Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050w |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-45472000000000 = -1 · 214 · 59 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- -1 2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25750,1612500] |
[a1,a2,a3,a4,a6] |
Generators |
[2100:-9050:27] |
Generators of the group modulo torsion |
j |
-2466412193329/59392000 |
j-invariant |
L |
7.1656945209613 |
L(r)(E,1)/r! |
Ω |
0.63800861523922 |
Real period |
R |
1.4039180564057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210u1 71050h1 |
Quadratic twists by: 5 -7 |