Atkin-Lehner |
3- 11- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
26367c |
Isogeny class |
Conductor |
26367 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
58560 |
Modular degree for the optimal curve |
Δ |
-43490795527773 = -1 · 32 · 115 · 172 · 473 |
Discriminant |
Eigenvalues |
1 3- 0 3 11- 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7101,391465] |
[a1,a2,a3,a4,a6] |
Generators |
[11:555:1] |
Generators of the group modulo torsion |
j |
-39590804799015625/43490795527773 |
j-invariant |
L |
9.2490208391429 |
L(r)(E,1)/r! |
Ω |
0.58214154556172 |
Real period |
R |
0.79439621769465 |
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 |
79101i1 |
Quadratic twists by: -3 |