Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
1914k |
Isogeny class |
Conductor |
1914 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-22947512544 = -1 · 25 · 35 · 112 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11+ 0 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,649,-3283] |
[a1,a2,a3,a4,a6] |
Generators |
[71:-674:1] |
Generators of the group modulo torsion |
j |
30228456935951/22947512544 |
j-invariant |
L |
3.4668646107601 |
L(r)(E,1)/r! |
Ω |
0.67184936987694 |
Real period |
R |
0.17200604610699 |
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 |
15312z1 61248u1 5742i1 47850bd1 |
Quadratic twists by: -4 8 -3 5 |