Atkin-Lehner |
2- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26680d |
Isogeny class |
Conductor |
26680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
2730016859600 = 24 · 52 · 234 · 293 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 -2 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9011,316510] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:805:1] |
Generators of the group modulo torsion |
j |
5057907628877824/170626053725 |
j-invariant |
L |
4.3275169991696 |
L(r)(E,1)/r! |
Ω |
0.80268971134911 |
Real period |
R |
1.3478175121667 |
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 |
53360b1 |
Quadratic twists by: -4 |