Atkin-Lehner |
2- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55100m |
Isogeny class |
Conductor |
55100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12864 |
Modular degree for the optimal curve |
Δ |
-17632000 = -1 · 28 · 53 · 19 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- 0 2 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-413,3103] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-10:1] |
Generators of the group modulo torsion |
j |
-244047872/551 |
j-invariant |
L |
3.9736235375348 |
L(r)(E,1)/r! |
Ω |
2.1909037477661 |
Real period |
R |
0.30228191916892 |
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 |
55100l1 |
Quadratic twists by: 5 |