Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10712c |
Isogeny class |
Conductor |
10712 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
2742272 = 211 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 0 -2 3 5 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-544571,-154678474] |
[a1,a2,a3,a4,a6] |
Generators |
[870258973052126:9749353898219116:955962722051] |
Generators of the group modulo torsion |
j |
8720819351266396194/1339 |
j-invariant |
L |
4.4970629001366 |
L(r)(E,1)/r! |
Ω |
0.17574619340267 |
Real period |
R |
25.588394337697 |
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 |
21424e1 85696d1 96408i1 |
Quadratic twists by: -4 8 -3 |