Atkin-Lehner |
2+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850ba |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3175200 |
Modular degree for the optimal curve |
Δ |
-80045231082031250 = -1 · 2 · 59 · 72 · 535 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 5 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59992,-14725334] |
[a1,a2,a3,a4,a6] |
Generators |
[228063:20836406:27] |
Generators of the group modulo torsion |
j |
-249506398197/836390986 |
j-invariant |
L |
2.4819852645025 |
L(r)(E,1)/r! |
Ω |
0.14030774715741 |
Real period |
R |
8.8447893665666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000001306587 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850dj1 129850u1 |
Quadratic twists by: 5 -7 |