Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960j |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
8456400 = 24 · 36 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176175,-28403298] |
[a1,a2,a3,a4,a6] |
Generators |
[3440793752:95439677025:3511808] |
Generators of the group modulo torsion |
j |
37795407757392787456/528525 |
j-invariant |
L |
3.8103105122362 |
L(r)(E,1)/r! |
Ω |
0.23303077483074 |
Real period |
R |
16.351104333768 |
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 |
3480s1 27840dh1 20880i1 34800be1 |
Quadratic twists by: -4 8 -3 5 |