Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
21900a |
Isogeny class |
Conductor |
21900 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-70956000000 = -1 · 28 · 35 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1533,26937] |
[a1,a2,a3,a4,a6] |
Generators |
[56:337:1] |
Generators of the group modulo torsion |
j |
-99672064/17739 |
j-invariant |
L |
4.3308452043498 |
L(r)(E,1)/r! |
Ω |
1.0526860062191 |
Real period |
R |
4.1140902213613 |
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 |
87600cm1 65700i1 876b1 |
Quadratic twists by: -4 -3 5 |