Atkin-Lehner |
2- 3+ 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370s |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
-413015625000 = -1 · 23 · 33 · 59 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11+ 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5446,-160021] |
[a1,a2,a3,a4,a6] |
Generators |
[2757:14845:27] |
Generators of the group modulo torsion |
j |
-17863296516440929/413015625000 |
j-invariant |
L |
5.5893428003179 |
L(r)(E,1)/r! |
Ω |
0.2774954624218 |
Real period |
R |
6.7140350711055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110bm1 |
Quadratic twists by: -3 |