Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28830v |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-145257293414400 = -1 · 221 · 3 · 52 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -3 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-53836,4820333] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:1737:1] [121:249:1] |
Generators of the group modulo torsion |
j |
-18685115827009/157286400 |
j-invariant |
L |
9.0507348565175 |
L(r)(E,1)/r! |
Ω |
0.5829076330112 |
Real period |
R |
0.12322917895054 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490y1 28830bm1 |
Quadratic twists by: -3 -31 |