Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600y |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
2606800 = 24 · 52 · 73 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -5 -5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43,92] |
[a1,a2,a3,a4,a6] |
Generators |
[1:7:1] |
Generators of the group modulo torsion |
j |
22497280/6517 |
j-invariant |
L |
3.2418609161999 |
L(r)(E,1)/r! |
Ω |
2.3837699190958 |
Real period |
R |
0.22666203997781 |
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 |
53200e1 26600j1 |
Quadratic twists by: -4 5 |