Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
6396a |
Isogeny class |
Conductor |
6396 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
409344 = 28 · 3 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 1 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20,24] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
3631696/1599 |
j-invariant |
L |
3.9691679424516 |
L(r)(E,1)/r! |
Ω |
2.6918732746029 |
Real period |
R |
1.4745002968378 |
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 |
25584w1 102336u1 19188r1 83148b1 |
Quadratic twists by: -4 8 -3 13 |