Atkin-Lehner |
2- 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
924a |
Isogeny class |
Conductor |
924 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4200 |
Modular degree for the optimal curve |
Δ |
-1273401193092336 = -1 · 24 · 35 · 75 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11+ 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25158,-775719] |
[a1,a2,a3,a4,a6] |
j |
110056273881297152/79587574568271 |
j-invariant |
L |
0.81597351130263 |
L(r)(E,1)/r! |
Ω |
0.27199117043421 |
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 |
3696bb1 14784bb1 2772h1 23100z1 |
Quadratic twists by: -4 8 -3 5 |