Atkin-Lehner |
3- 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
26235j |
Isogeny class |
Conductor |
26235 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
117760 |
Modular degree for the optimal curve |
Δ |
-845653897812735 = -1 · 311 · 5 · 112 · 534 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19138,953876] |
[a1,a2,a3,a4,a6] |
j |
1063425594903911/1160019064215 |
j-invariant |
L |
0.66478980253246 |
L(r)(E,1)/r! |
Ω |
0.33239490126613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8745i1 |
Quadratic twists by: -3 |