Atkin-Lehner |
2- 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398ba |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
1392534528 = 210 · 3 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-343,1517] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:58:1] |
Generators of the group modulo torsion |
j |
4463599344625/1392534528 |
j-invariant |
L |
6.4705013686461 |
L(r)(E,1)/r! |
Ω |
1.405873622956 |
Real period |
R |
0.46024772518608 |
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 |
107184ci1 40194x1 93786cn1 |
Quadratic twists by: -4 -3 -7 |