Atkin-Lehner |
2- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10664c |
Isogeny class |
Conductor |
10664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
2623514624 = 211 · 313 · 43 |
Discriminant |
Eigenvalues |
2- 0 1 4 1 -1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347,342] |
[a1,a2,a3,a4,a6] |
Generators |
[62:466:1] |
Generators of the group modulo torsion |
j |
2256223842/1281013 |
j-invariant |
L |
5.2584604313821 |
L(r)(E,1)/r! |
Ω |
1.2388298182661 |
Real period |
R |
4.2446995978367 |
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 |
21328a1 85312b1 95976f1 |
Quadratic twists by: -4 8 -3 |