Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26862i |
Isogeny class |
Conductor |
26862 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
356994336777965568 = 212 · 33 · 119 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-186101,-11350528] |
[a1,a2,a3,a4,a6] |
j |
402355893390625/201513996288 |
j-invariant |
L |
2.9060024432049 |
L(r)(E,1)/r! |
Ω |
0.2421668702671 |
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 |
80586bg1 2442i1 |
Quadratic twists by: -3 -11 |