Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26862u |
Isogeny class |
Conductor |
26862 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
5597611008 = 210 · 3 · 113 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4342,-110428] |
[a1,a2,a3,a4,a6] |
j |
6801760964123/4205568 |
j-invariant |
L |
5.8815622357822 |
L(r)(E,1)/r! |
Ω |
0.58815622357828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80586i1 26862g1 |
Quadratic twists by: -3 -11 |