Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150v |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
2811110400000000 = 216 · 33 · 58 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-46525,-2919875] |
[a1,a2,a3,a4,a6] |
Generators |
[-810:7405:8] |
Generators of the group modulo torsion |
j |
712815962958289/179911065600 |
j-invariant |
L |
4.2812898468638 |
L(r)(E,1)/r! |
Ω |
0.33110262476167 |
Real period |
R |
3.2326003526552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bf1 |
Quadratic twists by: 5 |