Atkin-Lehner |
3- 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
28413f |
Isogeny class |
Conductor |
28413 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-810614408634261 = -1 · 313 · 7 · 116 · 41 |
Discriminant |
Eigenvalues |
1 3- 1 7- 11+ -1 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-123534,-16737179] |
[a1,a2,a3,a4,a6] |
j |
-285994494781134049/1111953921309 |
j-invariant |
L |
2.0367685783903 |
L(r)(E,1)/r! |
Ω |
0.12729803614943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9471c1 |
Quadratic twists by: -3 |