Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520bb |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
386144720 = 24 · 5 · 136 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,-820] |
[a1,a2,a3,a4,a6] |
Generators |
[-8471732:1413972:704969] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
7.3819699201132 |
L(r)(E,1)/r! |
Ω |
1.2614798821567 |
Real period |
R |
11.703666502382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3380i1 54080ck1 121680dm1 67600cc1 |
Quadratic twists by: -4 8 -3 5 |