Atkin-Lehner |
2- 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710w |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
2756160 = 26 · 33 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92,351] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:21:1] |
Generators of the group modulo torsion |
j |
3157114563/102080 |
j-invariant |
L |
9.0045052978566 |
L(r)(E,1)/r! |
Ω |
2.5378455893373 |
Real period |
R |
1.182696763965 |
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 |
28710c1 |
Quadratic twists by: -3 |