Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050be |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
-630804556800 = -1 · 210 · 32 · 52 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5826,174868] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:537:1] |
Generators of the group modulo torsion |
j |
-874556722890625/25232182272 |
j-invariant |
L |
4.8484674782495 |
L(r)(E,1)/r! |
Ω |
0.90944851871451 |
Real period |
R |
0.26656085410435 |
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 |
84150fc1 28050cw1 |
Quadratic twists by: -3 5 |