Atkin-Lehner |
2- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21620d |
Isogeny class |
Conductor |
21620 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
16835234560 = 28 · 5 · 234 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- -5 -3 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-660,-2140] |
[a1,a2,a3,a4,a6] |
Generators |
[28:46:1] |
Generators of the group modulo torsion |
j |
124386546256/65762635 |
j-invariant |
L |
5.0961132520796 |
L(r)(E,1)/r! |
Ω |
0.9995826557338 |
Real period |
R |
0.42485341447647 |
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 |
86480g1 108100a1 |
Quadratic twists by: -4 5 |