Atkin-Lehner |
2- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850cr |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-1558849250000 = -1 · 24 · 56 · 76 · 53 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9213,-349469] |
[a1,a2,a3,a4,a6] |
j |
-47045881/848 |
j-invariant |
L |
3.8942570692818 |
L(r)(E,1)/r! |
Ω |
0.24339106234691 |
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 |
5194f1 2650l1 |
Quadratic twists by: 5 -7 |