Atkin-Lehner |
2- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10540b |
Isogeny class |
Conductor |
10540 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
674560 = 28 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 0 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4836,127844] |
[a1,a2,a3,a4,a6] |
Generators |
[8785:50224:343] |
Generators of the group modulo torsion |
j |
48868884387664/2635 |
j-invariant |
L |
5.0643055937084 |
L(r)(E,1)/r! |
Ω |
2.1542833723392 |
Real period |
R |
7.052422618213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42160k1 94860u1 52700d1 |
Quadratic twists by: -4 -3 5 |