Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21900b |
Isogeny class |
Conductor |
21900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-3065299200 = -1 · 28 · 38 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -3 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,1752] |
[a1,a2,a3,a4,a6] |
Generators |
[26:162:1] |
Generators of the group modulo torsion |
j |
428750000/478953 |
j-invariant |
L |
2.9713126683909 |
L(r)(E,1)/r! |
Ω |
0.94597666680174 |
Real period |
R |
0.52349999259435 |
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 |
87600cp1 65700k1 21900i1 |
Quadratic twists by: -4 -3 5 |