Atkin-Lehner |
3- 5+ 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26445j |
Isogeny class |
Conductor |
26445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
3305625 = 3 · 54 · 41 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-119,-499] |
[a1,a2,a3,a4,a6] |
Generators |
[-46049283:32842207:6751269] |
Generators of the group modulo torsion |
j |
184122897769/3305625 |
j-invariant |
L |
7.5893954337583 |
L(r)(E,1)/r! |
Ω |
1.4485187213494 |
Real period |
R |
10.478836513329 |
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 |
79335i1 |
Quadratic twists by: -3 |