Atkin-Lehner |
2+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850bh |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-2182388950000000 = -1 · 27 · 58 · 77 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -2 5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-107825,13767125] |
[a1,a2,a3,a4,a6] |
j |
-3016755625/47488 |
j-invariant |
L |
2.7826843708547 |
L(r)(E,1)/r! |
Ω |
0.46378061451117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850cj1 18550i1 |
Quadratic twists by: 5 -7 |