Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
34160s |
Isogeny class |
Conductor |
34160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
2732800 = 28 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] |
Generators of the group modulo torsion |
j |
20720464/10675 |
j-invariant |
L |
6.2526275990742 |
L(r)(E,1)/r! |
Ω |
2.0559834625927 |
Real period |
R |
1.5205928726656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540a1 |
Quadratic twists by: -4 |