Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98400u |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
369000000 = 26 · 32 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3058,-66112] |
[a1,a2,a3,a4,a6] |
j |
3163575232/369 |
j-invariant |
L |
2.5679785131731 |
L(r)(E,1)/r! |
Ω |
0.64199462160249 |
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 |
98400bv1 3936b1 |
Quadratic twists by: -4 5 |