Atkin-Lehner |
5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11825d |
Isogeny class |
Conductor |
11825 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
532800 |
Modular degree for the optimal curve |
Δ |
625228606298828125 = 511 · 115 · 433 |
Discriminant |
Eigenvalues |
2 -3 5+ 0 11+ -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-611425,-180043719] |
[a1,a2,a3,a4,a6] |
j |
1617831409433849856/40014630803125 |
j-invariant |
L |
1.0259349833761 |
L(r)(E,1)/r! |
Ω |
0.17098916389601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106425u1 2365c1 |
Quadratic twists by: -3 5 |